Find the derivative and simplify. Please show steps  A. f(x) = 2 sin−1(4x + 5) Answer: f'(x)=(4)/(sqrt(-4x2-10x-6)) B. f(x) = x3tan−1(x2) Answer: f'(x)=((2x4)/(1+x4))+(3x2tan-1(x2))

Q: Find the Derivative f(x) = cosh(In(4x))

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Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: What is the first derivative of s(x)=(7x)3x at x=4?

A: To evaluate s'(4)

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: 8. Find the derivative of f (x) = 2tanx – 3secx. Show all steps -

A: We have to find the derivative of the function fx=2tanx-3secx Then,…

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: What is the derivative of (3x^2tanh(sin4x))

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Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: 13. f(x) = e* In x

A:

Q: Find the derivative of the function. Simplify where possible: y=tan^-1(x-sqrt(1+x^2))

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Q: Find the derivative of   1/x^3 = 3* 1/square root of x

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Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: find the derivative oof 1/x^3 + 3* 1/square root of x

A:

Q: Find the derivative of this : y= csc (4x² ) Arccsc (4x² )

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Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Find the derivative fex=exV3x+2

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Q: find the derivative using the appropriate rule or combination of rules. y = sin(x2 + 4x)

A: Given y=sinx2+4x

Q: Find the derivative of 1. y= tan (x* + 3x³)

A:

Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

A:

Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find the derivative of f (x) =arcosh (4x2 + 2x + 1).

A:

Q: Find an equation of the tangent line to the graph of f ( x ) = 2x2 - 10 over 2x - 2 at the point on…

A:

Q: Find the derivative of the function. y = 2 sin4(4x2)

A: y = 2 sin4(4x2) dy/dx = ?   Useful formulas:ddx xn = nxn-1ddxsin(x) = cosx

Q: Find the derivative of the function two ways: by simplifying the function first and by using the…

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Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this…

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: 6 (x+2)(x-5)(x²+7) V(x3-8)(x+3)(x+4) %3D

A: Using Logarithmic Differentiation.

Q: Find the derivative. Simplify where possible. y = x tanh-lx + In /1 – x²

A: We have to find

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: f(x) = 3 sin 1 (x²)

A:

Q: calculate the derivative y = cosh−1(3x)

A:

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: h (x)= 3

A:

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: f(x) = 7xe

A: We can find the answer as below.

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x