f′(x) of f(x)=(12x-8)^1/2 and find the equation of the line tangent to the graph of f at x=2. Find the​ value(s) of x where the tangent line is horizontal.

Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: Find the second derivative of the function f(x) = 3*(square root of x+2 divided by 2x +1

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Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

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Q: 2х- 3 3. У3 5x +1

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Q: 9. Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x2 – 4x +3 %3D

A: We will find the point of inflection as following.

Q: Find the derivative of the function. f(x) = square root of 7x+1

A: To find the derivative of function f(x)=√(7x+1)

Q: Write the equation of the tangent and normal lines to f(x) at x – 1 x = = 4.

A: Consider the given function fx=x+1x-1 at x = 4. Tangent line: Obtain the y-coordinate of the point…

Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0

A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.

Q: tion of the tangent line to f(x) = 4 %3D

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Q: and second derivative for x^2 +

A: Explanation and solutions is given below....

Q: find an equation of the tangent line at the point indicated. y = log2(1 + 4x−1), x = 4

A: We have to find an equation of the tangent line at the point indicated. the given function is…

Q: Find the derivative 14x y = ln 3x2 + 1

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Q: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: 4x +2 x-12 7. f(x) = 2x

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Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Find the derivative of function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: - Find or y' by implicit differentiation dx - 4x 36

A:

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: Find the first derivative of f (x) = 2* 2*

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Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

A:

Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

Q: Find the equation of the line tangent to the graph of y=(x^2−x)ln(7x) at x=2. Round to three…

A:

Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

A:

Q: Find the second derivative of 2x^2 ln (1/x^2)

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Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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Q: Find the derivztive of the function

A: Topic :- derivative

Q: 4. y=ln(4x' +5)

A:

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find derivative of F(x)= 2 square root 2x+3

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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