Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: Calculate the derivative.

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

Q: Calculate the derivative of the function y=3x−1x4.

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Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: Find the derivative of y=3x^x

A: Given,

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Find the derivative of the function f(x) = x 9x

A: Some common derivatives are :ddxxn = n xn-1ddxax = ax.lnaddxf(x)g(x) = f(x)ddxg(x) +g(x)ddxf(x)

Q: Find the derivative of the function. f(x) = 8x

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Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Find the derivative of the function. +8x+3 10) y = %3D

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Q: Use the implicit differentation to find the second derivative of x2y+y2x=-2

A: We have given  x2y+y2x=-2 We have to find second derivative. Differentiate on both side of the given…

Q: Find the derivative of the function. y = 2x² +3 x² +1 X y' =

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Q: Find the derivative of the function. y = (8x^2 - 5/ 2 - x) ^3

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Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Find the derivative of the function. y=x²- + 35x+9 44 y'-O

A: Given, y = x3 - x2/44 + 35x +9 We will use d(xn)dx = nxn-1                       d(constant)dx = 0

Q: Find the derivative of y=(6x^(1/3) - 2x^(1/7))^5, when x=5.

A: Solution

Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: find the derivative of the function f(x)=6x

A: We have to find the derivative of given function.

Q: Calculate the derivative of the function y=(2−x3)(13+x2).

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Q: Find the derivative of y=x2(x3-1)5

A: The given function is: y=x2x3-15

Q: Find the derivative. h(x) == 2* %3D

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Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: Find the derivative of the function y=3√2x2.

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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=√x5+√5x.

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Q: Find the derivative of the function of y = (9x* + 6x-²) when x = 2

A: Given:     y=9x4+6x-2  differentiating on both sides    dydx=ddx9x4+6x-2    y'=ddx9x4+ddx6x-2 Apply…

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: Find the derivative of the functionf(x) = (2 – x*)

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Q: Find the derivative of y=x^3lnx

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Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Use the definition of the derivative to find the derivative of y = 3x^2 + 4x.

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Q: Find the derivative of the function. Y- (2x)4

A: The given function is

Q: Find the derivative of y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

Q: Use the Definition of Derivative to find the derivative of y = 6x^2 + 3x.

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Q: Find the derivative of y = (10x) x² + ₂

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Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Find the derivative of y= (x+2)x+2

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Q: Find the derivative of the fractional function y=2x+1x3.

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Q: Find the derivative. y = 5x(2 – x³)* %3D

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Q: Find the derivative of the function y = (x + 3)°(x + 2)².

A: Consider the given function y=x+35x+22.

Q: Find the derivative of the function f(x) = x6x. %3D

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Q: with positive exponents only

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Q: Find the derivative of the function using chain rule. f(x) = (4x5 – 2x*)10

A: We differentiate the given function by using chain rule, see attached file for a step by step…

Q: Find the derivative of the function y = 5x* - 15x - X.

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Q: Find the derivative of the function y=4√x3.

A: Given expression:y=4x3 Simplify the above expression, y=4x312y=4x32 Now, differentiate the above…

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.…

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

A: