Find the derivative of the following using the three-step rule 2. y=Va² +x

Q: Find the derivative of y with respect to the independent variable. 24) y = 2ln 10t

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Q: Find the derivative of the function. y = (lnx)        (x7)

A: Quotient rule of differentiation:If a function f(x) is a quotient of u and v where both u and v are…

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: y' +y = x*

A: Given: y3+y=x4

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: Find the derivative of the functionf(x) = Vx – 2. Provide your answer below: f'(x) =O

A: We have to find derivative

Q: Find the derivative of the following function y = xsinx

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Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: 2. Calculate the derivative by first principles for the following: i. f(x)=Vx,

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of the following functions using the long method mits) x = t* – 5t – 3 2

A: Given function is x=12t4-5t-3.

Q: Use the product rule to find the derivative of the following.

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx…

Q: Y = (cot x)3x² 3r2

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Q: 2. For y = 6x*V4 + x, find y(2).

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Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: Find the derivative of the following function with respect to x x = sinh2y

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Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Find the derivative of the function. s = t6 et

A: To find the derivative of the function use the product rule. Let's take an example: Let y=uv and u…

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: Calculate the derivative of the following function. y=V19x - 8

A: Given,            y=19x-8To find : Calculate the derivative of the given function.

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

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Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Find the derivative of y with respect to x.

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Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: find the derivative of the funciton y=xe^(5x)

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Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

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Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

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

A: Y'= ?

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

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Q: find the derivative using the definition ƒ(t) = 1/2t + 1

A: Given:ft=12t+1Derivative definition:f'x=limh→0fx+h-fxh

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

A: we have to find the derivative of the given function  y=xsin-1x+1-x2

Q: Find the derivative of y with respect to x. 1. x² + 4y² = 4ay

A: Given:   To find: Derivative of y w.r.t. x:

Q: Find the derivative of the following: 1. y=x(VT- x³)

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Q: Find the nth order derivative of the power function y=xm where m is a real number.

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Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

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Q: Calculate the derivative of the following: y = Vx + 4

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Q: Find the derivative of the function.

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Q: Find the nth order derivative of the function y=xlnx.

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Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: Calculate the derivative of the following functions. y = sec (3x + 1)

A: Given:  y = sec (3x + 1)

Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

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