Using the chain rule, derive the formula for the derivative of the inverse sine function.

Q: On which derivative rule is the Substitution Rule based? Choose the correct answer below. O A. The…

A: Substitution rule:

Q: Using the definition of the derivative, find the derivative of the function y=1x.

A: Given function

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(8x))x

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Q: sin x Find the derivative of y = tan with respect to x, by using the Chain Rule.

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Q: Using the Chain Rule, compute the first derivative of sin T-x.

A: We have given a composite function and we have to find derivative of function by using chain rule of…

Q: What is the derivative of a function ƒ? How is its domain related to the domain of ƒ? Give examples.

A: Define the derivative of the function f.

Q: HOW DO YOU FIND THE DERIVATIVE

A: To differentiate composite functions (function of a function)

Q: 10. g(x) = e*´ arcsin x

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: use the Chain Rule to compute the derivative. 29.  y = sin(x2)

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Q: Using four-step rule, find the derivative of the following functions 1.y = (3 – 5x)*

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Following the steps used to prove the product rule for derivatives, prove the quotient rule for…

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Q: a f(x) = x² sec (ax)

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Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

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

Q: y = log4((2x³ – x² + 7)(x² + 4)) %3D -

A: From the property of logarithmic, logab=logeblogea=lnblna So, the given function is:…

Q: second derivative of f (x) =e**?

A: Given that: f(x)=ex2

Q: Use logarithmic differentiation to find the derivative of the function. y = x5x

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Q: Use logarithmic differentiation to find the derivative of y=x^√x/√x

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Q: Using first principles (by definition), prove that the derivative of a constant is 0.

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Q: Use logarithm differentiation techniques to determine the derivative of the following functions:

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Q: Find the first derivative of the function below:

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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: Question 9(both parts)

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Q: Fi id the derivative using Chain rule. Ln X+3

A: Please see the explanation below..

Q: Use the Power Rule to compute the derivative: I-13

A: Solution...

Q: erivative

A: We have to write the derivative of  y=15(16x)

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(6x))x y' =

A: Use log to differentiate

Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: we have to find the second derivative of the function at the given point. f(x) = cos x2 , (0, 1)

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) y' = || %3D

A: y = x4cosx take both side natural log lny = 4cosx(lnx) now differentiate with respect to x (y')/y =…

Q: Using the rule for the derivative of an inverse function, Find the derivative of arcsin(3x)

A: Using the rule for the derivative of an inverse function, Find the derivative of arcsin(3x)

Q: х — 3 y = х° + 3

A: topic - logarithmic differentiation

Q: Use logarithmic differentiation to find the derivative of the function. V = x In(x)

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Q: Using logarithmic differentiation, find the first derivative of y=x√2x .

A: We have to find the first derivative of the given function using logarithmic differenciation.  In…

Q: Find the derivative

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Q: Using the Chain Rule, compute the first derivative of sin 1–x.

A: chain rule Let f(x) = g(h(x)) And let u = h(x) Using the above, function f may be written as: f(x) =…

Q: tan x Find the derivative of y = e'

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Q: Sinx-1

A: Given: y=sinx-1cos2

Q: y = sec²(Arcsec() + e) %3D

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Q: x* +e" = y

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function

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Q: Example38. From definition, find the derivative of cosx with respect to x.

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Q: Use logarithmic differentiation to find the derivative of the function. y = x2 cos(x) y' =

A: The function is given as ,  y = x2 cos(x) find y' using logarithmic differentiation

Q: Derivative

A: Note: As you did not mentioned on which part you need help, so we only allowed to help you on first…

Q: HOW DO YOU FIND THE DERIVATIVE

A: In this question we have a function for which we have to find the differentiation, function is given…

Q: EXERCISE 3. Derive a formula for the nth derivative of f(x)

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