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: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

A:

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

A:

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

A:

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) =…

A:

Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

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)…

A:

Q: X x+18

A: f(x)=xx+18

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 h(x) = f(g(x)) and p(x) = g(f(x)). Use the table to compute the following derivatives. a. h'(4)…

A: In loose transaction of composite function u(v(x)), v is known as inside function and u is known as…

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

A:

Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

A:

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

A:

Q: Find the derivative of the algebraic function H(v) = (v5-3)(v++3). Select one: H'(v) = 9v8…

A: Given Algebraic Function

Q: Find the derivative of f(x) = (ax² + b)6 Assume that a and b are constants. f'(x)=0

A: Let given function  f(x) = (ax2 + b)6 where a and b are constant We have to find derivative of f(x)…

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,…

A: