Find the derivatives of following functions e2x f(x) 1- ex

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 the function g(x) = x3/e2x

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Q: What is the derivative of the function f(x) = e-2x?

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Q: Use the rules for derivatives to find the derivative of function defined as follows. ƒ(x) = e2x…

A: We have to find the derivative of the function: fx=e2xlnxex+1 We know the rule and formula of…

Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

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

A: Apply rule of u/v.

Q: - 3x Find the derivative of y with respect to x if y = 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: g(x) = ex (+x을

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

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Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

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

A: Given :

Q: Find derivatives of the function defined as follows.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

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

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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. f(x) = e. 3x

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Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Find the derivative: h(x)= 3 tan*(e²*)

A: Question based on derivatives application.

Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

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Q: B) Find derivative of the following function d -6tanx dx

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Q: Find the derivative of the following function  X=tan(e-y)

A: Given,  X = tane-y    We have to find the derivative of function.

Q: 2x+ln x

A: We know that power rule of derivatives is  d(xn)/dx = nxn-1.     Here i attached the solution of…

Q: f(x) = e*

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Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

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

A: The first derivative of the function f(x) = (x−2)e−3x is calculated as follows.

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

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Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

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Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: Find the derivatives of the functions y = (1 + 2x)e-2x

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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. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

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 following function 1. f(x) = 5x' - 32x + e?

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Q: Find the derivative of the following function. y = e-* sin x

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Q: Find derivative of the following function d -6tanx dx

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

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: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

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

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Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: f(x) = e²x cos(x)

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Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

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Q: f(x) = e²x cos(x) e2

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Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x