Question 1 If t(x) g(x) = e3x find and simplify g'(x) t'(x) - 31(x) g'(x) = e3x t'(x) + 3t(x) g'(x) = e3x g'(x) = t'(x) – 31(x) t'(x) g'(x) = 3e3x 00

Q: If f (0) = 3, f'(0) = –1, g(0) = –2, and g'(0) = 5, find h' (0) (a) h(x) = 2f(x) – 3g(x) (b) h(x) =…

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Q: Given f(x) find f'(x) f'(x) = 2 ¹(√2 x² + 3 In =

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Q: i) f(x) = x lnx mg

A: Formula for the derivative of the product of two function

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Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: y= 16 +. 16 tan' (7x) y=e

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Q: If f(x) = log,(cot(x) + a?) , then f'(x) = %3D (A) 1 (cot(x)+2?) (B) csc (x)+2x (cot(x)+r) 1 (C)…

A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

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

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Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

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A: According to the given information, it is required to calculate the derivative of the given…

Q: If g(x) = sin(x) then g'(x) = g'(3 =

A: Use the definition of the derivative of a function.

Q: Find f"(x). f(x) = 6x- 14x-

A: Topic = Derivative

Q: Find the second derivative. 1 h(x) = x2 %3D | h"(x) = %3D

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Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: E 40 (X) + (²²) (+) (A(+1) = 20₂² (e (t))

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Q: If f(x) = 7x° – 3e", find: f'(x) = %3D f'(5) = f''(x) = %3D f''(5) =

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Q: A company wants to accumulate Tk. 100000 to purchase replacement machinery 8 years from now to…

A: Solution is given below:

Q: Suppose f(-3) = 3, f'(-3) = 5, = -8, and %3D g(-3) = 1, gʻ (-3) = H(x) = f(x)e®(x). Find the…

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Q: f(x) = (8x + 10)*, then find the second derivative, f" (x) =

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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: 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: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

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Q: Find g'(x) if g(x) g'(x) = = 9x e 6x

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