Determine p' (x) if p(x) = (5x)" and a = 4. .

Q: y = In (x* + 5)³

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Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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

A: To evaluate s'(4)

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the derivative by the limit process. x) = 11 -x

A: Given, f(x)=11-x2

Q: Find derivative of 2x^4y^3-xy^2 using chain rule.

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: Find the derivative. y= In x+3 %3D

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Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: Find the derative: yain Jx2+4x+1 derivative.

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Q: On which derivative rule is the Substitution Rule based?

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Q: Shows the derivative function of: e3x+5

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Q: FInd the derivatives of the function f(x) from the first pribnciple  cos2x

A: Derivative from first principal is ratio of change in y to the very small chance in x.

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: Find the derivative of the function by the limit process.

A: The given function is fx=-5x. Obtain the derivative as follows.

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: Find the derivative of the function by the limit process.

A: Given: fx=x3-12x

Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Determine the derivative of y. アミeV10x+5

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Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 2. Determine the second derivative of f(x) = x²e²* at x = -2 with a step-size of h=0.50 using…

A: Given function f(x)=x2e2x. The objective is to determine the second derivative of fx at x=-2 with a…

Q: Find the derivative of the function by the limit process. f(x) = 1/x2

A: Here the given function The first derivative of function f(x) is defined by limit prosses as

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: Find the derivative of the function by the limit process. f(x) = x3 − 12x

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Q: Find the derivative of y given that y= x In x et

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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: 3. FIND THE DERIVATIVE BY THE LIMIT PROCESS OFF (x) = Vx + 2.

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Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x…

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Q: 4 Find the first derivative of y = In X +

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Q: Find the partial derivative. xeV11xy

A: We will solve the problem

Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: Find the derivative using the long method 3-t to

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Q: Find the derivative of y = csc(V3x² +1

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x?

A: The given function: f(x)=x4-2x2 To find the first derivative of the function: f'(x)=4x3-4x Now, let…

Q: 5. Find derivative of the following composite function using the Chain Rule: f(x) = 3x2 + 8x, x(t) =…

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Q: Find the derivative of the function by the limit process. f(x) = −5x

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Q: Find the derivative of y = arccos x + x 1-x²

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