Calculate the first five derivatives of f(x) = cos(x). Then determine f(8) and f(21). f'(x) = -sin(x) f"(x) = -cos(x) f(3)(x) = f(4) (x) = f(5)(x) =| f(8)(x) = f(21) (2) =

Q: If f(x) = x5(4x + 5)6, compute the first and second derivatives of f(x). f'(x) = f"(x) =

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Q: Find the derivative of f(x)) at x = 3 if f(3) = 2, g(3) = = 5, f'(3) = 7, and g'(3) = 4.

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Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first…

A: Use real number line

Q: Find f(x), where f'(x) = sin(x)+ cos(x) + 1 and f(r) = 2. %3D %3D

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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: if f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1, then the derivative of f(x).g(x) evaluated at x =…

A: Given: f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

Q: If f(x) = (52² + lx + 6)cos(x), find f'(x) =

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: We have an unknown function f(x) which satisfies    f''(x) + f'(x) -2f(x) = x2 The first term is the…

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Q: nd an example of a function f(x) such that the third derivative f"(x) is equal to 0 for all x, and…

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Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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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 the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: f (x) = csc(cos(e*+1))

A: We have to find the derivatives of given function: fx=coseccose5x+1 We know following derivatives…

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Find the first and second derivatives of the function. f(x) = 16x16 + 7x7 - x f'(x) = F"(x) =

A: To find the first and second derivatives of the function:

Q: if f(x)=cosx-3tanx, then f′(x)= f'(5)=

A: The given function is f(x)=cosx-3tanx

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

A: Using properties of function composition