For f(x) = x + 12x, find (a) f(x + h) and (b)

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

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Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Find derivative: (b) y= -3 -3x4

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Q: Differentiate f(x) =- from the first principles. x2+3

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Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

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Q: For f(x) = (2a* + 3x)(5x*), find the derivative of f(x). 80x7+ 60x3 20x7-30a3 O 10z8 + 15x4 O…

A: We will use concept of differentiation to solve this.

Q: Find a, b to Continue The function at x=35 * >3 3 X = 3 ax+b flx) = 2a-b+1 bx-a+3 X3

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Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find (f-1)'(a). f(x)=5x3+4x2+5x+2, a=2

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Q: +x - 1, find (f-1)'(3).

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Q: What is f(x^2)? *

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: (2) Find the Difference Quotient of f (x) 3 -

A: The Formula of difference quotient of a function fx can be defined as, fx+h-fxh First calculate fx+h…

Q: Find the third derivative. f(x) = 4x9 − 7x6

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Q: find the derivative f(x)=(2x3-3)2/3

A: Consider the given function

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

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Q: Find the derivative:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Use the definition of derivative, to find the derivative for the following. f(x) = 22-x-7x²

A: The derivative of f(x) with respect to x is the function f′(x) and is defined as,

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: The derivative of f(x) = (4x3 +6x2 – 5)4 -

A: We havefx=4x3+6x2−54    ..........1

Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: find the derivative  f(x)= 3sec3x+4sec2x-6

A: Obtain the derivative of the function f(x) as follows.

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

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Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the second derivative of the function. f(x) = 15x5/2

A: Consider the following formula: ddxxn=nxn-1 Consider the following function: fx=15x52 Differentiate…

Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: Find the derivative f(x)=2x^5(√2x^5+5x^4)

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Q: Find f'(2) for f(x) 2 (x-)-

A: Given; f(x)=(x-1/x)^2 We have to find f'(2)=?

Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

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Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: How many points of inflection does the function f(x)=x8-x2 have?

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Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: find the derivative  f(x)= (x1/3-5)(x2/5-3x1/5+4x-1/3)

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Q: Find f(x- 1) when f(x) =4x +5x-3.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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Q: Calculate the derivative. f (x) = 2x3 − 3x2 + 5

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