For the pair of functions, find the derivative of the composite function f(t(x) in terms of one input variable. 5/n(t); t(x) = 2x3 - 3x2 f(t) 7x df dx

Q: Find the indicated derivative of the function. 1) d'y of y - 6x5 - 4x2 - 4x + 1 dx4

A: According to bartleby guidelines I have to solve only one question.

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the first and second derivative of the given y = x2+x+8

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Q: f (x) = (x² – 1)**1

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Q: Find the derivative of the function g(x) = x3/e2x

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Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the second derivative of the given function. y = 4x2 + 5Vx + e*

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: Given g(x) = ln(5x³ + x), the derivative g' (x) is

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Q: By using the First Principle, find the derivative of the following function at x = 2. 4x + 3 f(x) =…

A: We have to find the derivative of f(x)=4x+3x+1 at x=2 by using the First Principle.

Q: find the derivative of the given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Given f'(x) = 2x – 6 is the derivative of f(x) = x² – 6x + ß , find a if f(x) is to be…

A: Let's find.

Q: Find the value of x , for which the second derivative of the function f(x) = x - 3x² is equal to…

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Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator…

Q: Find the derivative of the function g(x)=(3x^2−4x+3)e^x g'(x)=

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Q: Find the derivative of the function. 9x + 8x2 t(x) t'(x) =

A: We have to find derivative

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

Q: Find the derivative. f(x) = e. 3x

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Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: find value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

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Q: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

Q: For what values of x is the derivative of x equal to the derivative of x2 + x?

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Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given f(x) = 5x² + 5x + 2, find f' (x) using the definition of a derivative.

A: Given function is solved through derivative  detailed solution is given below

Q: Find the derivative of the given function.   f(x)=8x+8⋅5x

A: To differntiate the given function y= 8x+8.5x

Q: find the derivative of the function h(x)=x(7+7x)

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Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Derivative: f(t)=ett(x)=9x-4f(x)=e9x-4We know,ddx(ex)=ex

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Find the value of x for which the derivative is zero of Y =x +4x - 3x – 5

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Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Find the derivative of the irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

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Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

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Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: a.) Given f(x) = 2x + 4, what is the value of f'(1)? b.) What is the derivative of f(x) = 4x + 5?

A: a) f(x)=2x+4b) f(x)=4x+5

Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

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Q: Find the derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: The derivative of f(x) = x³e2x is

A:

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A: Given,