Find 8 [°³ ° f(x) dx if f(x) = {~ 6 for x < 6 for x ≥ 6

Q: Differentiate f(x) = (3x)n() for r > 0. %3D

A: To differentiate (variable)(variable) ,  we need to take logarithm both the side then to…

Q: If f(x) = 21, find f'(– 10).

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Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: Ex+ 8x3-72x?+4 三X'

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Q: Differentiate. y' = || y = eP(p + p√p) X

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Q: If Y = f(x) = 6/x^3, find dy/dx? Select one: O a. (-18)/x^4 O b. (-9)/x^3 O c. 6X^2 O d. 18x^3

A: Sol:- Given:- Y=f(X)=6X3

Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

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Q: Find derivative.

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

Q: Please

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Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: do implicit diff for thi with respect to x (xy)^(1/2) = 4 + x^(2)y

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Q: Express the indicated derivative in terms of F(x). Assume that F is differentiable. (9 + (F(5x)))³ d…

A: It is known that , if we have a function f(ax) then the derivative of the function will be defined…

Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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Q: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

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Q: f(x) = xV 3 - x² — х

A: Solution: The objective is to find the derivative of the given function

Q: Y = √²n²√x+1

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

Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

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Q: -- Let the function f(x) have the property that f' (x) = x+1 If g(x) = f(x²) find g' (x). х-5 g'(x)…

A: Simply use the chain rule of derivative .

Q: Find f '(x) and F "(x). (x) = 5+ 2x 10x + 2x f'(x) %3D (5 + 2x)? 10 - 4x f "(x) (5 + 2x)?

A: Given:

Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

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Q: x' - 5 dx. (ii) Evaluate x' + 4x

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