Find the derivative of f(x) : %3D

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

A: For these kind of derivatives, we need to use the substitution method. Substitute the power term…

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 derivative of the function y=√x−3√x.

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Q: Find the derivative of the function y = e√x

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

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Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the derivative of the function.  y = x/√(x2 + 1)

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Q: Find the 1300th derivative of  f(x) = xe−x.

A: Given function is f(x)=xe-x       To caculate:- 1300thderivative of f(x)…

Q: Find the derivative of h(2) – (, ° ) Assume that a and b are constants.

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Q: please show ALL your steps

A: we are given a function

Q: Find the derivative of the given function. y = x7 y =

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Q: Find the derivative of y = f(x) x2 +1

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Q: Find the derivative of the function. y%3=

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Q: Find the derivative of the function y = coth 8x2

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Q: Find the derivative of the function f.

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Q: Find the derivative: a. y = x arctan 4x

A: Solution:

Q: Find the derivative of the function y=2x.

A: Use power rule to solve this derivative. According to power rule the derivative of xn is,…

Q: Find the derivative of f(x) = x"'log,(r + 3). f()=

A: The given function is: f(x)=x8log2(x+3)       =x8ln (x+3)ln 2(used change of base in logerithm)…

Q: Find the nth-order derivative of the function y=x2cosx.

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Q: find the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

Q: Find the derivative of the function y=√x2√x.

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Q: Find the derivative of the following function. f(x) = eax+bx+1,

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Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: Find the derivative of the function. 4 y=デ

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Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: Find the derivative of the function. y:

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Q: Find the derivative of the function. Y=x^2e^x

A: We are given a function , Y = x2ex we are required to calculate the derivative of this function.

Q: Find the derivative. f(x) = e. 3x

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Q: | Find the derivative of f(x) = 7e8z + e f' (x)

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Q: Find the derivative of the function Зх + у Зx + y = Зх

A: Given function,

Q: 213 20 fet)= (9t+3)

A: The given function, f(t)=9t+323

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

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Q: Find the derivative of the function. 76 y = Vx - X y' = O

A: We know ddxxn = n·xn-1 xab = xab x-a = 1xa

Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

Q: Find the derivative of the function. f(x) = logg(x) f'(x) =

A: Derivative Question

Q: Find the derivative of the function y=√x(1+x).

A: The given function is y=x1+x. We know that, by chain rule of differentiation fg'=fg'+gf'

Q: Find the derivative of the function. f(x) = e!/(9x) f'(x) = %3D

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Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: Find the derivative of the function. y = x2e−x

A: Giveny=x2e−x

Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: B) Using the definition of derivative, find dx

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Q: 3.) Y + y = x" ן1

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

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Q: 3. y = Vx*

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Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

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Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: find the derivative of the function  F(x)= e^x/e^x + 8

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Q: Calculate the derivative of the following function. y= csc(7x+3

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Q: Find the derivative of the function y=√x.

A: Given, y=x