Find the derivatives of the following function f(X) from the first principle xsinx

Q: Find derivatives of the function defined as follows. y = -4e-0.3x

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = (x2 + 2x…

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Q: Find the second derivative of the following function: f(x) = esinx %3D

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: derivative

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Find q′(x) from q(x)=−5x3+x2−3x−3 using the definition of a derivative. (Do not include "q′(x)=" in…

A: Express the mathematical expression for the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Given…

Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Find the derivative of the function f(x) = 8x2 – 13x by the definition of derivatives f(x + h) –…

A: on using this formula we get = 16x-13

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

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Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: f(x) = x In x

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Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

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Q: Find the derivative.

A: Differentiate above equation with respect to x dydx=ddx{ln(x+1x3+1)}dydx=1(x+1x3+1)ddx(x+1x3+1)…

Q: Find the derivative of the function.

A: Given function is Differentiating both sides with respect to x, by using product rule of…

Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

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Q: Find the derivative of the following function. You must show work. h(x) = (x³ – x² + 1)°

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Q: Find the derivative of function defined as follows. y = (x3 + 2)(x2 - 1)4

A: Given: The function y=x3+2x2-14, To determine: The derivative of the given function.

Q: Find the derivative of function defined as follows.

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

Q: Find the derivative of the algebraic function.

A: Given algebraic function fx=3x-1x. Differentiating the given function with respect to x,…

Q: Find the derivative of the following function. Make any obvious simplifications. (a) x²y² +xsin y =…

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Q: Find derivatives of the functions defined as follows: y =x2e-2x

A: From the given data:

Q: Find derivatives of the functions defined as follows: y = -103x2-4

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Q: 2х-3 3. у %3 Зx+4

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

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

Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = 3x2cosx +…

A: Given function is  We know that according to product rule of differentiation, we have (uv)'=uv'+vu'

Q: Find the derivative of the following function by applying the appropriate derivative rules. f(x) =…

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Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

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Q: Find the derivative of the following using the differentiation rules. f(x) = [x+²(x² - 2x-² + 3)…

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Q: Find the derivative of the following function by definition (from first principle): 1-x f(x) =. 2x

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Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.

Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

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Q: Use the theorems on derivatives to find the derivative of the following function:   f(x) = ln(x /…

A: Given expression

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

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Q: Find the derivative of the following function by definition (from first principle): f(x) = x-1

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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: