If g(x) = fª f(t) dt, what is g' (4)?

Q: Find f'(a). f)t( 1 t² +4

A:

Q: 1) y = logs Vr² – 1

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

Q: Find f, f '(t) = (12)/(1 + t2), f(1) = 0 f(t) =

A: Given: f't=121+t2, f1=0 for finding ft, we integrate given f't

Q: Let f(6) = 54 and f'(6) = 19. Let g(x) = (13+x²)f(x). Calculate the value of g' (6). %3D

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Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: If f(x) t*dt then f'(x) =

A: ddx∫hxgxFtdt= fgxg'x-fhxh'x

Q: Find a function y(æ) such that byy' = x and y(6) = 5. y =

A: y' = dy/dx y(6) = 5 means at x=6 => y=5

Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

A:

Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

Q: Find g(1) if f (1) = 0, f'(1) = 2, and (fg)'(1) = 10.

A: The value of a function is obtained by substituting a value from its domain in the function…

Q: 3 (b) * ƒ (x) da 0 =

A:

Q: Find g'(4) given that f(4) = -10, f'(4) = -9, and g(z) = Vif(x). %3D

A: Consider the handwritten solution.

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: H(w)= (6-5w)* 2. %3D

A: Find your answer below

Q: Let f(x) = xV*. Find f'(9).

A:

Q: 14 If f(x) : t? dt then f'(x) =

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Q: = f²³² € 0 Given F(x) = -t² e dt, use FTC Part II to find F'(1)

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Q: goo3D 4X Sxt7

A:

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: Calculate the second derivative of the function y = f (x) defined by the equation x3 + y3 +3xy +…

A: Explanation:

Q: or h' (x):

A: Given that: The equation is h ( x) = g ( x 2 + f ( 3x) ).

Q: Find the derivative of the function f(t) = tel4-4t. f'(t) =[

A:

Q: Find F'(x). 1 dt F(x) =

A:

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

A:

Q: If f(x) = t*dt then f'(x) =

A: By using fundamental theorem of calculus.

Q: - If g(x) 1 dt , find g'(2). 4 +t

A:

Q: Given that f(u) = ln7 + 4u - 15e9 - 7u-3. Determine the value of f''(0).

A: Given;