Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?; x=e4

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: Solve the following problems involving implicit functions.  1. Find the equation of a tangent line…

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Q: 11. For the given function, find the value of x on the graph where the tangent line is horizontal. y…

A: Writing the equation in standard form.

Q: Find the slope of the tangent line to the graph of the function at the given point.    h(t) = t2 +…

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Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) =…

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Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

Q: Find the third derivative of the given function g(t) = Square Root of 5t+3

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Q: 1. For the function f(x) = 3x² + 7x – 2, (a). Find the slope of the tangent line at x = 4. (b). Find…

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Q: For what value(s) of x does the graph of f(x) = 6x³ + 9x² – 216x %3D e a horizontal tangent?

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

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Q: 56. For what value of a does the graph of f (x) = e® – 2x have a horizontal tangent?

A: Given query is to find the value of x where tangent is horizontal.

Q: Find the derivative of the function

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Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given function is Differentiating both sides , we get

Q: find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx 1.

A: According to the given information, it is required to fine the equation of tangent.

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: h(x) = e(-1/2)x

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Q: Find the derivative of f( x ) = x?e7.5. f'(x) =

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Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: Find the function whose tangent line has the slope e for each value of x and whose graph passes…

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Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

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Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The derivative of the given function is y = 2(32x)

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Q: Find an equation of the tangent line to the graph of f at the given point. f(t)= (t -…

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Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

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Q: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

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Q: If f(x)=e^(2x), find the formula for f^((n))(x), the nth derivative of function f(x) f(x) = e2",…

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Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

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Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

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Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

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