Find the second derivative of the function. f(x) = e−3x + e4x

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Given that, f(x) = 3x - 7 Then we get, f'x=limh→0fx+h-fxh

Q: 3-2x2 Find the derivative of y =- and simplify your answer. 5x +2

A: Given: y=3-2x25x2+2  To find: Derivative of the given function.

Q: Find the derivative of the equation √(xy) = x-2y.

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Q: Find the derivative of the function. g(x) =  3 x6  +  2 x3  + 6 3   x   g'(x) =

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Q: Find the derivative of the function. g(x) = 6e√x g'(x) =

A: Given that g(x) = 6e^(√x) We have to find the derivative of the function.

Q: Find the derivative of the function. g(x) = ex5 − 6x

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

A: We use d(xn)dx =nxn-1 here

Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 7 h'(x) =

A: Using , quotient rule of derivatives

Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

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Q: Find the derivative of the function. f(x) =  (x3 − 1x2 + 1)/x2   f '(x) =

A: We first simplify the given function

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

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Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

Q: Find the derivative of the function. y = x−9 + x−6 − 2

A: Given : y = x-9+x-6-2

Q: Find the derivative of the function. y =  x2 − 16 (x + 4)

A: Given, y=x2-16x+4

Q: 3-2x Find the derivative of y = 3+2x

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Q: Find the third derivative of the given function. f(x) =  3 x2

A: Given function is, f(x)=3x2

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 4x + 4.

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Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

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Q: Find the derivative of the function. y = 2e4x2

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.…

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. [ 1

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Q: Using the definition of derivative, find the derivative of f(x)=x^2+3

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Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

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Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3) when the…

A: Given function: fx=-x2+2x-3 Find the derivative of f(x) The formula for f'(x) is given as…

Q: Find the derivative of the function Y=5x^2-8x-8x^-2

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Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: x2+2xy+3y2=2 Differentiating with respect to x, we get…

Q: Find the derivative of the function. y = 5e4x2

A: I have Provided this answer in step-2.

Q: Find the derivative. e5x y = e5x + 6

A: Given,          y=e5xe5x+6

Q: Find the derivative of the function using the definition of derivative. g(x) =    5 − x

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Q: Find the derivative of the function. g(x) =  3 x5 +  2 x3 + 6 3   x  g'(x) =

A: Given query is to find the derivative of g(x).

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Given: fx=2x3+5 To Find: To find f'x and then to find f'-2, f'0 and f'3.

Q: Find the derivative of the function. y = 9x5 − 4x3 + 3x − 10 y' =

A: The solution are next step

Q: Find the derivative of the function g(x) 4 – 2x g'(x)

A: We have to find the derivative of the function g(x)

Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: Find the derivative of the function. t(x) =  8x + 2x2/x   t'(x) =

A: Given function is t(x)=8x+2x2x

Q: Find the derivative of the function. f(x) = 5x3 − 3x2 + x

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Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: Find the derivative of the function. y = (3x + 4)(x3 − 6x2)

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Q-3: Use the definition of the derivative to find the derivative of g(x) = x³ – 2x2 +x – 1.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: Find the derivative of the following function: y=1-x/√2-x

A: Given: y = 1-x2-x To find: Derivative of the given function.

Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: (c) Find an expression for the second derivative of 1/g(x) in terms of g, g', and g", explaining…

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