1+sin 2 x 1) Find the derivative of f(x) %3D 2 cos3 x

Q: 1+sin 2 x 1) Find the derivative of f(x): 2 cos3 x

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Q: The derivative of any constant is 0. The well-remembered triq identity tells us that sin2(x) +…

A: To verify that sin2(x) + cos2(x) is a constant, we need to show that the derivative of sin2(x) +…

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

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Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Find the derivative f(x)= (sin h^-1

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Q: Find the second derivative of ƒ (z) = 6 sin (5z). Enclose arguments of functions in parentheses. For…

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Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x & cos-1x

Q: Evaluate the integral.

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Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: 43. Use the identity cos 2x = cos x cos x - sin x sin x to find the derivative of cos 2.x. Express…

A: cos2x=cosxcosx-sinxsinx find the derivative of cos2x So here use product rule and then find…

Q: The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph…

A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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Q: (8) Find the derivative of the functions (i)h(x) = sin 2.x cos 2x (ii) f (x) = cos (tan 4.x) 1 =-…

A: We need to differentiate the given function. We will use different method of differentiation . ( As…

Q: 1-sin(x) (1-Sinx)2 10. Find the equation of the line tangent to the graph of y = 3cos(x) at the…

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Q: 7. The derivatives of the function f (x) = cos(3x²) that follow are incorrect. What misconception…

A: The differentiation of product two functions can be calculated by using the formula,…

Q: FIN 2 dx

A: Note:- In given problem, according to written way sin2x is multiplied by 3x+1. If you want solution…

Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: Lim as x approaches 0  1-cos(5x)+sin(3x)/x

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Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: 2. Find the derivatives of the folowing equations: y = sin-'(1 -t) y = csc-(x/2) y = In(tan- x)

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Q: elin (sin x+ cos x) dx 1. S ecosx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: cos x sin x dx 4. sin 2x cos 2x dx

A: In some cases indefinite integrals can be converted to standard integrals using an appropriate…

Q: 1+sin 2 x 1) Find the derivative of f(x) 2 cos3 x

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Q: f(x) = -3 sin(x) cos(x)

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Q: Find the second derivatives of f(x) = 2x2+3x  3x+5

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the derivative of these functions with respect to x. In(sin-1(x))

A: Given query is to find the derivative of the expression.

Q: Find integral.

A: To find the integral  I = ∫sin10x cos x dx

Q: 1-sin x dx 1-cos x 2

A: Introduction :

Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin…

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

Q: 9. Solve 4(sec² x)(3 – tan x)/2 dx by substitution. Remember that the first derivative of tan x is…

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Q: sin(2 x) + 2 Find the function whose derivative is e 2cos x

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Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: of sin (4) sin³2 x sin 2x dx

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Q: )Find the anti derivative for sin(x^2) 2x

A: we have to find the anti derivative of ∫sinx22xdx...............1 first we put in place of x2 =z…

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

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Q: Find the second derivative of f (z) = 6 sin (4z). %3D Enclose arguments of functions in parentheses.…

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Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Find the first derivative of the function 3 cos x y = x? sin(2e*)- ex Show all the works clearly.…

A: The given function is y=x2sin2ex-3cosxex.

Q: 1. f(x) = cos 3x2. y = - tan 12x3. f(x) = sec x? 4. y = sin(2x² + 5)5. y = 12 csc6. f(x) = sin(x +…

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Q: Find the equation of the tangent line to f(x) 16e* cos2(x) at x 4 (Use symbolic notation and…

A: To determine the equation of the tangent line.

Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: 1+ cosx + sinx sinx 1+cos x 2sec x 2csc x 2csc 2x 2sec 2x X.

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Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: cos 2x-cos 4.x Express f(x) = using factor formulae. Hence, determine sin 2.x + sin 4x dy of y =…

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Q: Find the indicated derivative. Find y " if y = 5x sin x. O y" = - 5x sin x y"= - 10 cos x+ 5x sin x…

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Q: 3 sin³ (tan √x² + 3x²)] dx d [(x²+1) cotx dx 3- cos x csc x

A: To find the following derivatives.i ddx3 sin3tan x2+3x2ii ddxx2+1 cot x3-cos x csc x