I find (fo g)(x) by replacing each occurrence of x in the equation for – with,

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

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Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

Q: 2x+1 S(x) = 3x+2,

A: Solution:Given     f(x)=2x+13x+23To find the derivativeFormula:ddx(xn)=nxn-1uv'=vu'-uv'v2

Q: 3125 -), then solve it for y. e5 Determine an equation of the tangent line to y = x°e * at the point…

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

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Q: Find the second derivative of the function. y = In(9x + 5) y" =

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Q: The derivative of the function y -3x2+4 is: %3D sec x

A: Given that y=-3x2+4secx find the derivative of y

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: I. Find the derivative of the following. 1. 2x* – 15x3 + 15x? – 4 (x-1) 2. x+2

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Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

A:

Q: Find the second derivative of the following function: 3x Vx y = e** +In(7e¬x + 5x³) – 52x +

A: Given,

Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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 third derivative of the function given by the equation x2+3xy+y2=1.

A: Given the equation of a function:

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: x=1), 3. Y = In (x-1), (х-2)2

A:

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

Q: If g(x) = 2 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 −…

A: g(x)=2-x3differentiate w.r.t xg'(x)=-3x2Put x=0g'(0)=-3(0)2 g'(0)=0at x=0g(0)=2-02⇒y=2.equation of…

Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: Find the derivative. y = In {(x + 1)(2x + 9))

A: Derivative of any function is the rate of change. It represents the amount by which the function is…

Q: The given problems need the first derivative. Find the first derivative. y = 3x + 6 y = x2 –1

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Q: Q1) A) Find the tangent equation for the function f(x) = Vx² + 5 at =2 ?

A: To find  The tangent equation for the given function

Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x5 +…

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Q: Find the derivative of the following equation.    (x3-2)2/(3x+1)3

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Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

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Q: Find an equation of the tangent line to the curve

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Q: Solve for the derivative of the given equation below. x2+1 f(x) x2-1

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Q: The derivative of the given function is y = 2(32x)

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Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Find The First Derivative  y = (x2 +5x)3

A:

Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

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Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: find the second derivative and simplify the final result 10. y= (e^(-3x+4) +2) / (e^(2+3x) +1)

A: Given that, y=e-3x+4+2e3x+2+1 We have to find the second derivative of y with respect to x.

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

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: Q1) A) Find the tangent equation for the function: f(x) = vx2 + 5 at =2 ?

A: The equation of the tangent using the slope intercept is y=mx+b Where 'm' is the slope of line and…

Q: Find the derivative of the following equations:  1: y=e2x^2 - x +2x -3x 2: y= ln(x3 / 2x2+3)

A: To differentiate the given functions, by using basic rules of differentating standard functions…

Q: Find, the derivative of y= 5x e" + 6x3 y':

A:

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

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

Q: Find the First and second derivative of the given y=-x2+3

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Q: (c) For y = 2x2 In(4x) – x², find y'.

A:

Q: (1) Find the equation of the line tangent to k(r) = (x³ – 5)(x² + x) at the point (1, –8). Write…

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Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Consider the given function as y=5x1+x2