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

Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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Q: Use the Chain Rule to find the derivative. y = sin(x2)

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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: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (2…

A: Given function is   Differentiating both sides with respect to x, we get

Q: Use the Chain Rule to express the second derivative off o gin terms of the first and second…

A: Let y=f o g then we have to find the second derivative of y.

Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: use the Chain Rule to find the derivative. y = cos3(e4θ )

A: Given: The function given is  y=cos3(e4θ)   To determine: The derivative of the function y=cos3(e4θ)…

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: Given that y=cos6θ+15 Find dydθ Needed formulae: xn'=nxn-1 cos x'=-sin x ax'=a

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

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

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Q: f(x) = cos (x – a -2).

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Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: Consider the function:  y=sin2x. Let u=2x  then  yu=sin u . Version two of chaon rule:…

Q: Compute the derivative of f(x) = sin2x

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Q: Use the Chain Rule to find the derivative. y = sin2 x

A: Given the function fgx. The derivative of the expression using chain rule is f'gxg'x. The derivative…

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: Find the derivative of function.

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Q: Use the Chain Rule to find the derivative. y = cos3(e4θ )

A: We have given y=cos3e4θ Then, dydθ=dcos3e4θdθ=3cos2e4θ-sine4θ4e4θ=-12e4θsine4θcos2e4θ

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: use the Chain Rule to find the derivative. y = sin2 x

A: To differentiate: y=sin2x Solution: y=sin2xDifferentiating both sides w.r.t x we…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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Q: use the Power Rule to compute the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y =…

A: given y=cos9θ+41

Q: sinx (b) у %3D V1+cosx

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Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: Use the Chain Rule to express the second derivative of f ◦ g in terms of the first and second…

A: First, find the first derivative of the function, consider that the function f(x) and g(x) are…

Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: (a) h(x) = tan(r'sinx

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Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: Find the derivative of ?(?) =5/13sin2(5?). using the chain rule

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Q: k(x) = x In x %3D

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

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Find the derivative of: – 7 sin (2x°). - Hint: sin? (æ) = [sin(x)]"...so ...so use the chain rule…

A: Solving by chain rule

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: sinx (a) h(x) = tan(x² sin.x) (b) y= V1+cos.x

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Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: 2) Use the Chain Rule to express the second derivative of ƒ • g in terms of the first and second…

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Q: * Use the chain rule to find the derivative of

A: Given,        w = xy Here,         x=tan(t),   y=csc(t)

Q: Use the Chain Rule to find the derivative. y = tan(θ + cos θ)

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Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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Q: r(x)= cos (3x)

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