If y = f(x), write f"(x) in Leibniz notation. Enter the answer in the box.

Q: Find the second derivative of f(x)=(3x2+7)2 and simplify

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Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)

Q: Find the derivative of f(x)=(8x+12)^68

A: We will find derivative of f(x) ,where f(x) is given by

Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

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Q: Find the derivative of the function. f(x) = (2x³ – 8x?+ 7)1

A: topic - derivative of a function

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Find the derivative of the function. f(x)=(x^3+3x+9)(8+(1/x^2))

A: The given function f is,

Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Find the derivative. y = x2 / x2+1

A: We need to find the derivative of given function. Here we use quotient rule of differenciation to…

Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: Find the 19th derivative of the function y=x20 – 4x19

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Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: b. y = (4x – x²) (x* – 2x² + 10x) -

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Q: By definition, find the derivative: f (x)= Vx

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Q: Write a derivative formula for the function. f(x) = (5x + 29)5(15x + 2)

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Q: Find the derivative of the function. y=x²- + 35x+9 44 y'-O

A: Given, y = x3 - x2/44 + 35x +9 We will use d(xn)dx = nxn-1                       d(constant)dx = 0

Q: N or 8x 5 y 3= . 4x 2

A: Given function is y=8x+54x-2 To find derivative of the given function. Solution: Quotient rule of…

Q: Find the derivative of f(x) = 7xª + 5x² + 2.

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Q: Find the derivative of the function. f(x)= (x2+6/x)5

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Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Find the derivative. 6) y = 8x2e¬x

A: We use the product rule to find the derivative

Q: If  f(x) = ex,  find  f(ln(2)).  (Simplify your answer completely.)

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Q: Find The First Derivative  y = (x2 +5x)3

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Q: What is the value of xy?

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Q: Use the quotient rule to derive the given equation

A: Given,           ddxcscx=-cscxcotx

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: Find the derivative. f(x)x (2x+1)

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Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

A: General rule of differentiation is  ddxxn=nxn-1

Q: Find the derivative of the function. f(x)=(x^3+9x+8)(7+1/x^2)

A: fx=x3+9x+87+1x2⇒fx=x3+9x+87+x-2

Q: The equationx - y2 = 0 implicitly defines whattwo functions?

A: x-y2=0 Now solve for y  y2=xy=±x  , x>0

Q: Use an applicable rule to find each derivative. 1. f(x)=x²-2x' +7x-12 2. g(x) = 3x +2x+1 3. s(1)…

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Q: Find the derivative of each function. (a) f(x) = 4x2(1 − 3x)

A: First, we expand the expression

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: Find the derivative of the function y=3x2−2√x+1.

A: y=3x2-2x+1Differentiate with respect to xdydx=ddx(-2x+1+3x2)

Q: Find the first and second derivative: y=x1/2+(4/x1/2)

A: First derivative:

Q: find the derivative of the function f(x)=8x^2ln8x

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Q: Find the derivative. y = x² + 8x +5

A: Differentiate wrt x

Q: -y = (x2 +5x)3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the derivative of the function y=x22−2x2.

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Q: .Find the derivative of f(x) if ƒ(x) = x7 + 10x5 – xi – 4

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find derivative the He' 3x+2

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Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

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Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: Find the derivative of the function.h(x) =9x9−7x7+ 8x

A: we will find derivative of f(x)we will use power rule

Q: find the derivative h(x) = 2 x2 − 8 x8 + 6 x

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Q: compute the derivative y = (x4 − 9x)6

A: Given y=(x4-9x)6 The chain rule of derivative is given by:

Q: (c) For y = 2x2 In(4x) – x², find y'.

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