For the pair of functions, find the derivative of the composite function f(t(x) in terms of one input variable. 5In(t); t(x) 2x3 - 3x27x f(t) = df dx

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: Find the derivative of function. y = ln(x4 + 5x2)3/2

A: This question comes under the concept of Derivation. This question can be solved using the chain…

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 following function. 3x f(x) = e X+5 3x dx -*+5

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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: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

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

A: The given pair of functions  ft=4t and tx=x2+7x To find the derivative of the composite function ftx…

Q: Find the derivative of the function. y = x2(2x2 − 3x)

A: The given function is,

Q: Find derivative of the following function. 7x -7x + e y = X

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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 fifth derivative of the function y=(x3+2x2+3x)ex.

A: We use the product rule to find the derivatives

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

A:

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)=

A:

Q: Find the third derivative of the given function. f(x) = (3x + 4)³

A: The given function f(x)=3x+43

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

A: We have to find derivative

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

A: Given,

Q: Find the 3rd derivative of the functions: y = 12(5x2 –1)(x2 –1)

A: Find the 3rd derivative of the functions: Given y=12(5x2-1)(x2-1) To find dydx, d2ydx2, d3ydx3

Q: Find the derivative of the function. g(x) = 2(4 – 7x)* %D

A: given function :

Q: Find the derivative of f(x) = e3 (5x² + x)

A:

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Given, f(x)=9x3+1x On differentiating both sides w.r.t x we get:…

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

A:

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

A: Given  f(t)=2t and t(x)=x2+6x Now dfdx=dfdt·dtdx

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 f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

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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?

A:

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: 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)

A:

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 second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

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 irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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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. h(x) = ln(2x2 + 1)

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Q: The derivative of f(x) = x³e2x is

A: