Consider F(x) = = F(0) = 0 F'(3) = 6 F'(1) = 0 O F'(4) = 10 F'(2) = 2 I tf(t) tf(t) dt. Which of the following is FALSE?

Q: Find f. 8. f'(t : f(1) = 0 1+2' f(t) =

A:

Q: Find f. 4 f'(t) 1 + t2 f(1) = 0

A:

Q: d Evaluate the following derivative: dx (1 + t² dt. Oxv1 +x4 + v1+x² Main Content None of these O…

A:

Q: Find f. f'(t) = 2t – 2sint, f(0)=7

A: From the given problem: f't=2t-2sint And f0=7

Q: 5 3. Let F(x) /t2 17 dt. Find F'(x)

A: Given:

Q: Differentiate. 7t f(t) t3 - t - 1 f'(t) =

A:

Q: Find f. r'(t) = t3 + t > 0, f(1) = 5 f(t) %3D

A:

Q: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: Calculate the derivative of 2t – 1 > t + 2 r(t) =< 3t – 5, 2t2 + 5t + 7,

A:

Q: Find f. f '(t) =  16 1 + t2     f(1) = 0

A:

Q: et f(z) = | t'dt. Evaluate the following.

A:

Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: A(x) = sintdt d. A(x) = ₁ It-2|dt

A:

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

A:

Q: If f(x) t2 dt then f' (x) = f'(3) =

A:

Q: Let F(x) = [ (3t2-3)dt then F"(1) is equal to:

A: The Fundamental Theorem of Calculus : If f is a function that is continuous on an open interval I,…

Q: Find f. 8 f'(t) = f(1) = 0 1 + t2 f(t) =

A:

Q: Let F be the function given by F (x) = S" (sec² (5t) – 1) dt. Which of the following is an…

A: We have given that   F(x) = ∫2x(sec2(5t)-1)dt        ...(1). And we have to find F'(x). To find the…