If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:

Q: If F(x) = f(g(x)), where f(-2) = 3, f '(-2) = 5, f '(-4) = 4, g(-4)= -2, and g'(-4)= 3, find F…

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Q: Let h(x) = f(x)g(æ). If f(x) = –3x² + 2æ – 3 and g(x) = -322 + 4x + 3, what is h' (1)? %3| Do not…

A: Given function is h(x)=f(x)g(x) where f(x)=-3x2+2x-3 , g(x)=-3x2+4x+3 f(1)=-3(1)2+2(1)-3=-3+2-3=-4…

Q: 6. If g(x) = x'+x²+ g"(2). find the value of

A: see 2nd step.

Q: 5. Suppose that F(x) = (g(x)) and g(17) = 13, g'(17) = 15,f"(17) = 2, andf"(13) = 6. Find F'(17).

A: Given: Fx=fgxg17=13g'17=15f'17=2f'13=6F'17=?

Q: If h(x)=√ 7 + 6f(x), where f(1)= 7 and f (1)= 2, find h(1). h'(1) = x

A: Given function Where

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: If R'(x)=250-18x and R(0)=0, find R(x)

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Q: If (g(5x) = -15, then g'(x) = %3D %3D (b) 3 (a) 0 (c)- (d) –3

A:

Q: If h(2) = 4 and h'(2) = π, find g'(2) where g(x) = 2x h(x) + cos(x)

A: To find out the derivative of the given function.

Q: 8.) y" +2y' +5y = 3e 2* ; and y(0) = y'(0) = 1

A:

Q: Suppose F(3) = 2, F(8)= -19, and F"(x) = f(x). —13, and G'(x) = g(x). Also suppose G(3) =0, G(8) = =…

A: use integration  for finding the values.

Q: 5. If y=5x²-3x + 10, give y'(-1)

A: We have to find the y'(-1).

Q: f (x) You are given h(x) = f(g(x)); p(x) = f(x)·g(x); q(x) = g(x) and the following values f(2) = 1,…

A: Given : hx = fgxpx = fx·gxqx = fxgx

Q: 2x-3 3x (x-3)2 find the x-value(s) where k'(x) is (are) undefined. If k' (x) : for all x in the…

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Q: Suppose that 9(g(x))³ + 10x = 9x²g(x) + 40, and that g(4) = = −4. Find gʻ(4). g'(4) = ▶

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Q: Suppose h(x)= x² – 2xf(x). Find h' (5) given that f(5) = 4, f' (5) = -8. h'(5) =

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Q: Find g' (6) given that f(6) = - 3 and f' (6) = 6. Enter the exact answers. (a) g(x) = 7x² – 6f (x)…

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Q: If f(x) = and g(æ) = f-'(x), find g' (x). O g'(x) = 3z2 O g (x) = O g (¤) = - O g(x) = - 2z

A:

Q: 18) Suppose P'(x) = 5ex - 6x³+ 4x and P(0) = -9. Find P(x).

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Q: If f(x) = f'(x) = f'(1) = 7x + 5 6x + 2 3 find:

A:

Q: Suppose f(2) = −2, f'(2) = 6, g(2) = 3, and g'(2) = −4. Find k'(2) for each of the following.…

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: If f(x) = 5x4 – 2x3 –x² + 3x – 1, then | f'(0) = d2 ;f(0) = dx f"'(x)= d4 ¡f(x)= dx

A:

Q: Suppose H(x) = f(g(x)) and %3D f(14) = 3 f' (2) = 13 g(14) = 2 d (14) = 4 Find H' (14)

A: Chain rule of differentiation: