What is the derivative of d(z) = cosh (csc z)? O A. d'(x) = csc x O B. d'(x) = - csc x OC. d'(x) = O D. d'(x) = || csc z cot z √csc²z+1 csc z cot z √csc² z 1

Q: Find the derivative of the function. Simplify where possible. y = (tan-'x)? y = tan-'(x²) y =…

A:

Q: Find the derivative of f when 2- sin r f(x) cos a D 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) 5. f'(x) 6.…

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: Determine the derivative of f(x) = r² cosa- 2x sinx. 1 f'(x) = (x² + 2) sin x 2 f'(x) = -(x² + 2)…

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Q: Find the derivative of the function 10 5 VX f(x) f '(x)

A: The given function is,

Q: True or false: If y² = f(x) for some differentiable function f, then by implicit differentiation,…

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Q: Consider the graph of y = S(2) shown below in blue. Estimate the value of the derivative at z 1.…

A: The answer is in step 2.

Q: Find the derivative of y with respect to 0 y = 8e°(sin e - cos €) O 16e° sin e 8e (sin e - cos 0) +…

A: Given. We are given function of Y and theta and we need to find the function dY/d theta The concept…

Q: Find the derivatives of f(x)=cosx/ex, then find f'(0)

A: Given function is

Q: You want to differentiate Y = E coe) so you take the the natural log of both sides, first. What is…

A: Consider the function y=lny.

Q: "(x) = (sin(2æ + 1))²/*.

A: Consider the given function: Using the chain rule for differentiating the values in the function.

Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the…

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the derivative. y (cscx+ cot x)( csc x- cotx) OA. y' 1 B. y' 0 Xcy= - csc x cot x CSC X CotX D.…

A: Differentiate function

Q: Find the derivative of f(x) = 4sinxcosx-5sinx. a.) f(x) = -4sinxcosx + 5cosx b.) f'(x)=4cos²x-4sin²x…

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Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: Find the derivative. y = ( csc x+ cot x)( csc x- cot x) O A. y' = - csc x cot x B. y' = - csc 2x Oc.…

A: To find the derivative of given function.

Q: The derivative of y= sech-1(x sechx)+e$inh (Inx) equals Select one: – x sechx tanhx+ sechx O y:…

A: Given

Q: -1 sin (x) Find derivative of h(x)%= %3D 1+x

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Q: If f(z) = 4, then f'(4) = ?. (Answer accurate to 2 decimal places.)

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Q: d If n is a positive integer, one can show that (sin" x cos nx) : appropriate differentiation rules…

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Q: Find the derivative of the trigonometric function f(x)=x°t .5, °tanx. a. f'(x)=x°sec²x+ 5x*tanx b.…

A: Use the chain rule of derivative and simplify.

Q: Find y' and y". y = V sin(x)

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Q: Find the derivative. F'(x) if F(x) = (e×" + 1) °

A: