The number of licensed drivers in a country (in millions) can be approximated by the function g(x) = 262x4°, where x = 5 corresponds to 2005. Estimate and interpre the value of the derivative in 2017. The derivative of the function is g'(x) =.

Q: Find the derivative of y = elanx

A: Given:- y = etanx To find:- Derivative of y

Q: What is the derivative of ex? What does it mean that the derivative is equal to the value of the…

A: Explanation of the solution is given below...

Q: Find the second order derivative if  y = xx

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Q: z (y/)° = y

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: Product rule is [ f(x)* g(x) ]'= f'(x) g(x)+ f(x) g'(x)

Q: Find the first and second derivative by using implicit differentiation  xy+8y2=4

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: Find the derivative. y = 7x² – sinhx %3D

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

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Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Find the derivative using the long method y = sec x

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Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Find the derivative y = cosh(2x)

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

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: Find the derivative of the function without using the Quotient Rule. y =

A:

Q: find the derivative using the appropriate rule or combination of rules. y = sin(x2 + 4x)

A: Given y=sinx2+4x

Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: Determine the derivative of h(x) = 15 arctan

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Q: Find the derivative. y = (lnx) 2

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Q: Find the derivative of the function y = x² cosh²3x

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Q: Determine the derivative of y. アミeV10x+5

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Q: Find the derivative of f(x)= (x^2)sinx

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Q: Find the derivative of function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Determine the derivative of у. /20x+6 y = ev y =

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Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula:…

Q: Find the derivative of y = etanx

A:

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the value of the 2nd derivative

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Q: Find the derivative of the function.

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Q: Find the derivative of h(x) = sin2x

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Q: y = csc-1 VE

A: We can find the derivative as below

Q: Find the derivative of the function y = arccsc 2x2

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Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: Calculate the derivative. y = cosh(x³)

A: We have to find the derivative of hyperbolic function.

Q: find the derivative of y=sin2(3x).

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Q: x² q(x) =- sin(x)

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Q: Find the derivative of the function. y = x² cosh²3x

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Q: In(x-

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Q: By using the definition of the derivative, find the slope of the tangent line to the curve y = 4x −…

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Q: find the derivative of f(x)=sec(x^4)ln(9x-8)

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Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: f(x) = 7xe

A: We can find the answer as below.