Find the derivative of the function using 3-step rule: v (t) = -.

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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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 the function by using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find the derivative using the long method y = vx + 2

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Q: Find the derivative of the function f(x,y) = x +xy + y at the point (- 2,- 1) in the direction in…

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Q: y = In

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Q: Find the derivative of the function

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Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

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

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Q: Find the derivative using the long method y = sec x

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Q: (d) y = πx+π³

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Q: Find the derivative using the Four-step rule f(x)=x/1-x

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Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

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Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: 3 f(x) :

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

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Q: cosx y =-

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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: Compute the derivative using derivative rules. y = sec( √t 2 - 9)

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Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

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

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Q: Find the derivative of by using the product rule. * (1+ væ³) (x-3 – 2a) y =

A: Consider the provided equation, y=1+x3x-3-2x3 Find the derivative of using the product rule. The…

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

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Q: Find the derivative of the function f(x) v4-x by definition

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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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 using the long method 3 u = t2

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Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: What is the first-order derivative of y = x^y?

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Q: Find the derivative of the function.

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Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

Q: find the derivative by using the definition of a deriviative.f(x)= 1/3x+2

A: according to definition of derivative we will evaluate the derivative of f(x)

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

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Q: Find the derivative of f(x)=sec(x)

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Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: Find the derivative using the definition 1- y = vx -1

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: Find the derivative of the function using the definition of derivative. g(t) = Vt %3D

A: Here, the given function is g(t)=5t. We need to find the derivative of the function g(t), using the…

Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…