the derivative of f(y)=4sin^9(y

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: Find the 3rd derivative of the function y=xsinx

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Q: (4) Find the derivative of f(x)= tanx+5

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Q: 45. y = cos vsin(tan x)

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Q: Find the 3rd derivative of the function y=excosx.

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Q: Use differentials to estimate the value. estimate =  exact value =

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Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative fex=exV3x+2

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Q: Calculate the derivative. 1 y = log 5x y' =0

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Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

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Q: Find the derivative of the function. y = 9 arcsin) – x/9 – x² Step 1 Rewrite the given function y =…

A: Given: --------------------------------------------------------------------------------------------…

Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Brd Derivative OF y=-Jin3x

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Q: calculate the derivative y = ecosh−1 x

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

Q: How can you relate antiderivatives as an opposite of derivatives in your life?

A: Solution:   Antiderivatives are the inverse operations of derivatives or the backward operation…

Q: Find the derivative of the cotangent function y=cotx

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Q: Find the Derivative of the hyperbolic function (3.11): y=sech(x)*(1+ln(sech x))

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Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: Find the derivative of y = etan x %3D

A: Giveny=etanxTo findderivative of y.

Q: What is the difference of antidifferentiation and anti-derivative?

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Find the derivative of y = 21+arctan x

A: By using derivative formula

Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: Find the derivative of the function. y = etan(8) y' =

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Q: What is the Derivative of yx

A: f(x) = yx

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

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Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: Find the derivative car (x+y) = yrinx

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Q: What is the difference between a derivative and an integration?

A: We have to state the difference between a derivative and integral.

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: 5. Find the 25" derivative of y= In x.

A: We have to find the 25th derivative of y=ln(x)

Q: y=

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Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x