Use the definition of a derivative to find f'(x) for f(x) = v2x

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: Find the derivative of the function.

A: Given: To find: Derivative

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: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

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: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of f(x) = (Cosx)*

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Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: 13. f(x) = e* In x

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Compute the derivative of f(x) = sin2x

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

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Q: Find the derivative of f(x)=arctan(1/x) and simplify

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Q: Find the derivative of f(x)=[sin(3x)]^3

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Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

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

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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: F(x) 1+ xe

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Q: Find the derivative of the function (slope of the tangent) using the definition at the point Xo=9…

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Q: Find the second derivative using implicit differentiation of x2+8y2=8

A: Given:

Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative of f(x) = (x2-ex) tan x

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Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

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Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the derivative of flx) = x 1x \ - Does plo) exist

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

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

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Q: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

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 using the definition of derivative. 1 f(x) V5 + x

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

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Q: Use the Quotient Rule to find the derivative of the function.…

A: Given:          g(x)=sinxx2

Q: f(x) = 3 sin 1 (x²)

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

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

Q: Find the derivative of the function f by using the rules of differentiation. 4x2 + x 4 + f(x) f'(x)…

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Q: the derivative of f(x) = xi at the point x = 4?

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Q: By using first principle, show that the derivative of f(x)=- is x+1 1 S'(x) = (x+1)

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

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Q: Find the derivative of f(x)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

Q: Find the derivative of the function by using the rules of differentiation. f(x) = 0.006x³ – 0.02x² +…

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

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Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

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