Calculate the derivatives of all orders: f'(x), f"(x), f'(x), f(4)(x), ., f(n)(x), .. .../ f(x) = e5x - 1

Q: h(x) = f(gx)) calculate the following derivatives using the table a) h'(3) b) h'(2)

A: Given

Q: Calculate the derivatives of all orders: f'(x), F"(x), F"''(x), f(4) (x), f(x) = 4x - 1 4e²x-1 f'(x)…

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Q: f'(x) = +6) ¹¹(™). Find f'(x). Let f(x) = (x³ + 6)¹(x).

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Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

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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: Calculate the first five derivatives of f(x) = -(sin(x)). Then determine f(16) and f(29) f'(x) =…

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Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

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: Let h(x) = f(g(x)) and let k(x) = xf(x2) Given to the table of values for the functions f and g and…

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Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Calculate the derivatives of all orders: f'(x), f"(x), f''(x), f(4)(x), ..., f(n)(x), .. .. f(x) =…

A: f(x) = e5x

Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

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Q: Consider the following functions. f(u) = u + 1 h(u) = yu+1 p(u) = 1 − 5u² q(u) = (1 - 5u2)6 g(u) =…

A: If you have any problem let me know in comment box thank you.

Q: Find the derivative of f(x) = 4sinxcosx-5sinx. a.) f(x) = -4sinxcosx + 5cosx b.) f'(x)=4cos²x-4sin²x…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives.…

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Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: Evaluate the definite integral. -82²e¬5¤ dx -5z

A: Given,  ∫01-8x2e-5xdx

Q: Let f(x) = x³ – 2x +1 and g(x) =ƒl (x). What is the slope of the curve g(x) = f (x)at the point (-2,…

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