Consider the following function. 9x5 – 3 if x < 1 f(x) : if x > 1 4 Calculate f(x) dx.

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: Find the derivative of the following function by first expanding the expression f(x) = (6x + 1) (5x2…

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Q: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

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Q: nd the hundredth derivative of p (x) = (x + x + x')1°(1 + x²)'' (x³ + x° + x'). Justify your answer.

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Q: Compute the derivative of the given function. f(x) = 2x" + 1.9x8.7+ 8.7. Note: Use pi for 7 in your…

A: The first question only has been answer below by following the Bartleby guidelines.

Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

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Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below:…

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Q: f(x) = 7e(x²+1) .3 %3D

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Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

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Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: 4. y = sech? In x

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-0, +0). Find the following:

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Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: Consider the function. f(x) = 9x2 – 2, x = 1 to x = 2 Find the area (in square units) under the…

A: As we know that the area under the curve f(x) is : Area=∫abf(x)dx

Q: (a) f(x) = V3x + 5 2 (b) f(x) =

A: We need to find the second derivative of the given functions.

Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: Differentiate the following function. f(x) = e 3x +5 d (e 3*+5) dx II

A: The Chain-Rule of derivative states that ddxfgx=f'gx·g'x.

Q: f (x) = D윽과+1

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Q: Q1/ find the derivative of the following function 5x + 2x+3 f(x) =

A: d(u/v) = (v du - v du) / v²

Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Q1/ find the derivative of the following function 5x? + 2x+3 f(x) =

A: Explanation of the solution is given below...

Q: Consider the function x + 3 f(x) = + V9+ 3x 6 – x Use the definition of derivative to find f'(0).

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Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: Find the second derivative of the function F(t) = 3tsin(r³). Answer F"(1) =

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Q: If f(1)   =12 , f' is continuous, and ∫14 f'(x) dx  =17 ,what is the value of f(4) ?

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Q: suppose f=f(x). what is the sign of df/dx if the function f is increasing

A: Given that f(X) is a increasing function so when we draw a tangent line at any point of graph then…

Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: Find the derivative f'(-1) for f(t) = 5t3 + 2t? – 1

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Q: For the function f(x) = 3x ln x, find f'(x) =

A: Given functionfx=3x4 .ln x

Q: please find h'(1) based of given h(x)=f(g(x))

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Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Find derivative of the 6tanx following function d d.x

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Q: Consider the following function. if x 1 4 Calculate f(x) dx. f(x) dæ

A: The given function is,,

Q: Use the definition of the derivative to find the following. f'(x) if f(x) = - 3x + 6 %3D | f'(x) =…

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Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

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Q: Find the second derivative of the function F(t) = 4tsin(r4).

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Q: Find the following derivative 1 g(x) = 2* · (x² + 1)

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Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 48x, f'(1) = 0, f(1) = 16

A: We have to find f'(x) and f(x).

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: For the following function f(x) = xe5x Find the first derivative f'(x).

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