Use the chain rule to find the derivative of f(x) = 2(10r° + 9®)™ You do not need to expand out your answer. = (x),f

Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x² – 1)³(x² + 3)² x3+4x…

A: Given functions to be differentiate are    1.   y=x2-2x3+4x    3.  y=x2-2x      we will make use…

Q: Q2 Use the chain rule to find the derivative of dw w = x2 + y2 with respect to t ). with x = cost -…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

A:

Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

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: 3x-7 y: y%3D arctan 6. 6(x²+3) Find the derivative of the function

A: Given, y=tan-1x6+3x-76x2+3 Differentiating both the sides, we get…

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: step by step Use the chain rule to find the derivative of  F(x)= sin (cos(2x))

A: Differentiate  wrt x

Q: find the first derivative of x=1/t3 ; y=3t+t3

A: solution x=1t3 and y =3t+t3Now diff with respect to tdxdt=-3t-4 --(1)and dydt=3+3t2 --(2)Now, divide…

Q: Find the derivative of the function. y = 2e Vx %3D

A: Given y=2e√x

Q: How did he get the derivative? Ux =d (uxN, 2)) dx then

A: I have stated the used formula in the solution

Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Find the derivative of the function. y = 9 tan-(x - V1+ x² ) ,2 y' =

A: The solution of the problem is given in the next step.

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

A:

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: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

A:

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

A:

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: B) Using the definition of derivative, find dy -if y = dx 1-x

A:

Q: B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

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Q: Find the derivative of y with respect to z. y=5 (2)

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Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

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

Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

A:

Q: 2. (x² – y²)³ = 3a*x? %3D

A: The given equation is x2-y23=3a4x2 We have to find the derivative of y with respect to x. In this…

Q: 9. Find the derivative of the function using chain rule. f(t) = 3t In t

A: To find the derivative of the function

Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

A:

Q: (a) By using the chain rule and the derivative = (xl) if x>0 (-1, if x< O' dx find - (Ix – x|)DvxE…

A: Given : ddx(x)=1 ,     if x&gt;0-1 , if x&lt;0 To find : ddx(x3-x) , where x∈(-1,1) and x≠0

Q: y = e* arctan x y = arccsc (e*) ICCSC

A:

Q: * find the dicredional derivative af the. f omc tion and in the direction of a= [o,3, 37 + find the…

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Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: (a) By using the chain rule and the derivative if x>0 (1, -1, if x< O' d (\xl) = dx | d find - (lx3…

A: Just break the mod function in two parts and easily calculate the derivative.

Q: Using appropriate rules, find the derivative of y-r'e + sin(3z+ 5z) 2 3z

A: on solving this we get the

Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

A:

Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

A:

Q: Q10) use the Chain Rule to find the derivative of w- xy With respect to t along the path x-cost,…

A: w=xy  x=cos t , y=sin t

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

A:

Q: Find the derivative of y with respect to x. 26) y = sec-1|2x+3 5 26) y = sec

A: We find the derivative using the chain rule

Q: 3r %3D 5r + 2 – 1 (d) f(x) =

A:

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

A:

Q: Find the derivative of the function. 7. y%3D Vx +2 y'

A:

Q: I. Find the derivative of y with respect to x. using inrement method x +7 1. у%3х? -3х -5 2. y = Зх…

A:

Q: Find the derivative of y with respect to x Y=(7x+3)^x

A: Find the derivative of y with respect to x Y=(7x+3)^x

Q: 3x2 dx Jcos(x) # L sin(t) dt. Find the derivative of F(x) %3D

A:

Q: Find the derivative of f(z)=((11z+4)1/2)(e3z).

A: Given function f(z)=11z+412e3z

Q: Use the chain rule to find the derivative of the function z = 2a*y³ – xy? along the curve given by x…

A:

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.