lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is undefined c. f(-4) – 0 d. f'(-4)=0 e. f(-3)=0

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

Q: -2x² √4-x² O(-∞, -√2) and (√2,00) O[-2, -√2) and (√2, 2] Given f'(x)= O(-2,2) O(-√2, √21 determine…

A: Function increasing and decreasing.

Q: Find F'(-1) given that f(-1) = -2, f'(−1) = 3, g(−1) = −2, g'(−1) = 10, and F(x) = f(x)g(x). F'(−1)…

A: This is a question of calculus  here is the function is given  we have to differentiate using the…

Q: Find F'(-1) given that f(-1) = -1, f'(-1) = -8, g(-1) = –5, g(-1) = 2 , and F(æ) = f(x)g(x). F'(-1)…

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Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Given f''(x) = 8x – 5 and f'( – 3) = 1 and f( – 3) = – 2. Find f'(x) and find f(2) =

A:

Q: AF f(1) = 6 glD=5 h(1) = 3 f'(5)=-7 g'(5) = -11 (5) = 15 f" (-11) -2 - g" (-11) = 3 f(1) = 4 g(1) =…

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Q: x² find f''(x). Then find f''(0) and f''(9). For the function f(x) = %3D 9 + x

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

A:

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: cable below is given by: I. y = (2x*)(x*) Derivative of lII: a. y' = 14x b. y = 20x C. y' = 10x- 2x…

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Q: f'(x) 6 48 3 8 Write down the value(s) of x for which the original function y = f(x) is a.…

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Q: f" (x) = 7x – 1 and f'(-2) = -1 and f(-2) = -4. Find f'(r) = and find f(4) = %3D

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Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

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Q: f"(z) = 7z – 1 and f'(-2) =-1 and f(-2) = -4. Find f'(z) = and find f(4) = !!

A: