Calculate the derivative   f(x)=√(4+3x^2) / √(x^2+1)

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: Evaluate the second derivative at this critical number.

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Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: What are the the mean value theorem in application of derivatives?

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Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx

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Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

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

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

Q: What are application of 1st principle method of derivative?

A: First principle method: Differentiation from first principles: Given a function y=f(x) its first…

Q: Compute the derivative. (x) = ex sinx

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

Q: f(x) = 6x3 - 9x + 4 +4

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Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

Q: 3. Calculate the derivative of f (x) = x2 +1 showing all your work.

A: Using the formula u by v = vd/DX(u)-u d/DX(v)/v^2 According to the bartleby guidelines I can  solve…

Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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

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Q: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

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Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: Compute the derivative using derivative rules that have been introduced so far y = ex-12

A: To differentiate y=ex-12, with respect to x, apply the exponential rule of differentiation,…

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: Use product rule to find the derivative of f(x) = (x2 + 5cosx)(x³ – 2x + tanx). -

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: How can the derivative function definition be applied to this problem?

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Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

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: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

Q: Estimate the derivative of the function f (x) = - 3 at the point x = 3. 5 5

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Q: Find derivative using product or quotient rule

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Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: Use LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: f (x) = V7x at point…

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Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

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Q: X-2 %3D

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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: Use product rule to find the derivative of f (x) = (x² + 5cosaæ)(x – 2x + tanx).

A: We can find the derivative of the given function using the product rule as below

Q: function

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Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

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Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…