Find the derivative of g(x) using first principles. Show your steps. f (x) = %3D 1+3

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 derivative of y=4e^-2/t

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Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

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

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Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 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 following functions by applying “Delta Method". Show your complete…

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: Find the derivative of the function.  y = x/√(x2 + 1)

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: Find the derivative of the function. 4x +6 y-D y'3D

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Q: Find the derivative of the function

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Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

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Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the derivative of the function g(x)=(5x^2−3x+1)e^x g'(x)=___

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Q: Find the derivative of the function g(x) et 2 – 2x gʻ(x) =

A: We have to find derivative

Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

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Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: find the derivative of y=√e^x +1

A: The given function is

Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

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

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Q: | Find the derivative of f(x) = 7e8z + e f' (x)

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3

Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

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Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Find the derivative of the function. g(x) = 4e√x g'(x) =

A: Consider the given function:

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A: We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule…

Q: Fg(x) = 1 Vx-1

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Q: C) Find the derivative of y= (1+ x²)*

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Q: Find the derivative of the function. f(x) = e!/(9x) f'(x) = %3D

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Q: Find the derivative of h(x) = e³ + Vx + lnx. I

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Q: Find the derivative of y = x"+1 + (n + 1)*

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

A: Given:  Function  h(x)=-2x2x+32

Q: y= 4x2-2x - 3

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

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: How do I find the derivative of this problem?

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Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

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Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x

Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…