Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

Q: Find the second derivative of f(x)=(3x2+7)2 and simplify

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Q: Find the derivative of the function. 4x² +9 %3D y'

A: Differentiate w.r.t to x

Q: Find the derivative of the function. f(x) = (2x³ – 8x?+ 7)1

A: topic - derivative of a function

Q: Find the derivative of the function f(x) = (5x^4)/12

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Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

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Q: 9x3 + 7x + 1 y = 2х — 1

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Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

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Q: y = 6x2+2

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Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Find the derivative of the function. F(x) = (x4 + 7x2 - 5)9 F'(x) =

A: We have to find out

Q: Find the derivative of the function y=3√7x+7√3.

A: To determine: The derivative of the given function.                         Differentiate with…

Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: Find the second derivative of the function. f(x)= (3x³+6)* %D

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Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Find the derivative of the function. y = 5x² + 2* + 3

A: The sum rule of differentiation states that ddx(f(x)+g(x))=f'(x)+g'(x). The differentiation of the…

Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

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Q: x5/2+4 x3 y = 3

A: We have to find the derivative of the given expression: y=x52+4x3x3 Simplifying the given…

Q: Find the derivative of the function. y = -2e - 5x²

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Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: Find the derivative of the function.

A: Find the derivative of the function. y=-7x(8-2x) Apply the product rule for derivative.…

Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 2) f(x) =5x2 + 3

A: We have to find the derivative by using definition of derivative

Q: Find the derivative. a) (x-3)(x+2)(x^3) b) 9x^2(10x+4)

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Q: (3x² + 1)(2x – 1) 27. f(x) 5x + 4

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

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Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: Find the derivative. 6) y = 8x2e¬x

A: We use the product rule to find the derivative

Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: Find the second derivative of the function. y = (8x + 5)3

A: Given: y=8x+53 The power rule for derivatives is expressed as ddxxn=nxn-1…

Q: Find the derivative of the function. y = (x2 − 6)3

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Q: Find the derivative of the function. y=3x2-11x-5/x5

A: We have to find

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

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Q: Find the derivative

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Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: 2x + 9y = 6x?y – 5æ3

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Q: Find the derivative of the function y=3x2−2√x+1.

A: y=3x2-2x+1Differentiate with respect to xdydx=ddx(-2x+1+3x2)

Q: Find the derivative of f (x) = ( a ° – 5æ) (2² + 6x - 6).

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Q: Find the derivative. y = x² + 8x +5

A: Differentiate wrt x

Q: Find the derivative of the function y=x22−2x2.

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Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: Use the definition of the derivative to find the derivative of f(x) = x² - 2x + 7

A: By the definition of the derivative f'(x) = lim(h tends to 0) (f(x+h)-f(x))/h

Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: Find the derivative of the function f(x) = (2+8)2 8a2+15

A: To find: The derivative of the given function f(x).

Q: Find the derivative of the function. y = x3 - (x2)/(28) +8x + 5

A: The given function is: y = x3-x228+8x + 5 The derivative of xn is given by: dxndx=nxn-1 And, the…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: