Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches. use the application of derivative

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: Use the Power Rule to compute the derivative: da x=1

A: Using the power rule for differentiating x4

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 5x6 sec(x) y'=

A: Find your answer below

Q: Find f' usip , derivative rues Fの =x°(x -ス) %3D

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Q: Find the second order derivative if  y = xx

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Q: Compute the derivative:

A: Given, ddx∫0x4+t6 dt

Q: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

Q: Use various notations for the derivative

A: Solution: There are four popular derivative notations : (1) Leibniz Notation (2) Lagrange Notation…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 7x +…

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Q: Find y' if y=x", use the rules to find the derivative of variable with variable exponent

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Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Please find the derivative using the quotient rule

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Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Express the derivative in “subscript" notation. NOTE: Your answer should take the form fo.

A:

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

A: Given y=sinxx4

Q: (d) y = πx+π³

A:

Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: calculate the derivative. y = cosh2(9 − 3t)

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Q: FIND A APPLICATION OF DIFFERENTIATION THAT CAN APPLY IN DAILY LIFE AND CALCULATE IN DETAILS Cooling…

A: We need to give an example of differentiation and find time.

Q: Use the Power Rule to compute the derivative.

A: ddtt23t=8

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 8x' sec(x) y'…

A:

Q: Calculate the derivative of the function below using the quotient rule. y = Va + 8x7

A: Given : y = x8x+8x7

Q: Estimate the derivative of f(x) = sinx atx = ~-

A: Consider the provided function, fx=sinx at x=π2 Find the derivative of the function. First, we…

Q: Find derivative using quotient or product rule

A: Given function can be written as Now, we use quotient rule of differentiation to find derivative

Q: Find the derivative. Simplify where possible. f(x)  =x Sinhx   - Coshx

A: Given f(x)  =x Sinhx   - Coshx

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 6x° sec(x) y'…

A: y=6x5.secxdifferentiate w.r.t.xApply the Product Rule:  f·g'=f…

Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Find the derivative. Simplify where possible. f(t )  = sech2(et)

A: ddxex=exddxxn=n xn-1ddxsech x= -sech (x) tanh (x)

Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: Use the definition of derivative to differentiate f (x) = x + Vx.

A: To find: The derivative of by using definition of derivative. Formula used: Definition of…

Q: Use the definition of the derivative to differentiate each function.

A: Given : The function is f(x ) = x3 - 6x2 - x + 30 . Definition of the derivative as a limit :  f'(x)…

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

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x² +…

A: We will find the instantaneous rate of change of f(x) at x=4 as following.

Q: 4

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Q: please find the derivative using either the chain, quotient, or product rule and label all parts- no…

A: We have to find the derivative of  f(x) = 7x4-1x3.

Q: Use the definition of derivative to find the slope of the tangent line to the function f(x) = V2x at…

A: Let's find.

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fe.

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Q: Find the value of the 2nd derivative

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Q: Sketch the graph by using the properties of the derivative.

A: We have to sketch the graph of y=x2+2x by using the properties of the derivative.

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: find the indicated derivative using the definition

A: Given: fx=x2+34-x2 Now to find the derivative, ddxx2+34-x2 We use the quotient rule as,…

Q: Calculate the derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient

A: derivative of h(x)= square root of x+1 when x=8 using alternate difference quotient

Q: Use the product and/or quotient rule to find the derivative. f(æ) = (3x – 4)(2x – 1) %3D

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Q: Use the definition of the derivative of find (sin x)'.

A: 1)

Q: Please calculate derivative with respect to x for the attached image. Thanks.

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Q: Find the derivative, simplify as much as possible, thank you!

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Q: State the derivative. Do not simplify. f(x) = sin(ln(x))

A: To find the derivative of the function f(x).

Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…