₁* f(x) dx = 5 and ³ g(x) dx = 12. Use the linearity properties of the definite 4. Suppose that integral from section 5.2 to find L² (45 (2) - 19(2)) dr.

Q: Suppose that f(x + h) – f(x) = 5hx + 8h – 6h². Find f'(x). f'(x) =

A: Given: fx+h-fx=5hx+8h-6h2, To find: f'x.

Q: solve

A: We have to choose the correct answer from the give

Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: Let ƒ(x) = ln(−5x² + 3x + 10) ƒ'(x) =

A: use logarithmic differentiation

Q: Find f(x) dx if S5 f(x) lx for x 2 5' for x < 5

A: Given- ∫07fxdx if 5    for x&lt;5x    for x≥5 To find- The value of the above integral.

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: 1. Find f'(x) for f(x) = ln x + 2e - 3x².

A: The given function fx=ln x+2ex-3x2. We have to find the derivative function f'x.

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

A:

Q: 2x Find F'(x) given F(x) = S t2dt. -2x

A:

Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

A: NOTE: Refresh your page if you can't see any equations. . take x=e

Q: 3. Use substitution/general power rule to find the indefinite integral and check your answer by…

A: Given integral ∫4x( x2 + 5 )6dx

Q: answer. 3. Given f(x) = ln(5x + 3)2, find f'(0), Your answer should be exact-no %3D decimals!

A:

Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: [2, 03 b) If f(t)={ , find L{S(1)}.

A:

Q: Find f. 13 f"(x)=x³+ sinhx, f(0) = 4, ƒ(2)= 5

A:

Q: 4. Consider f(x) = 6 + (x+3) ²/³. Find the extrema of this function using the first derivative test.

A: We have to find extrema by first derivative test.

Q: If f (x) = 3x + 5 and g(x) = x³,finc а. (f + g)(x) b. (f/g)(x) c. f(g(x)) с. d. (f°f)(x)

A: