For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) Let f(x) = 2.5x² – 3.7x. Using the formula, m estimate the slope of the %3D h tangent line on the graph of f(x) at z = 7 for the following values of h:

Q: (a) If F(x) = 12x/(3 + x²), find F '(3) and use it to find an equation of the tangent line to the…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: For the function fo-4+53+ 445, find the slope of the tangent ine at N 2

A: The function is given by f(x) = 4x3+53x+445 To evaluate: The slope of the tangent line to the graph…

Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

Q: Let f(x) = Bx2 + 6 t where Bis a constant. If the slope of the tangent line to the graph of f at æ =…

A: f(x)=Bx2+6sqrt(x).

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: 7x Find the slope of the tangent line to the graph of f(x) = at x=2. (x+1)(x- 5)

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Q: f(x) = 8x + x - 7 (х, у) %3D

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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: Let f(x) = 2x + 5 – 5e". Then the equation of the tangent line to the graph of f(x) at the point (0,…

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Q: For what values of a are the graphs of y = a* and y = 1 +x tangent at x = 0? Enter the exact answer.

A: Please see the explanation below

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 the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) h tangent line…

A:

Q: Use the following derivative function ?′f′ to determine the local minima and maxima of the function…

A: Consider the equation

Q: Find the equation of the tangent line to the function f(x) = 2a? form y = mx + b. x at the point…

A:

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: The tangent line is horizontal when the slope is equal to 0

Q: For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) Let f(x) =…

A: Given that  f(x)=7.3x^2-4.8x  We have to find slope of the tangent line at x=2 for the following h…

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A:

Q: For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) Let f(x) =…

A:

Q: Consider the function f(x) = e2x. Out of all the many tangent lines of f (x), determine the one that…

A: Topic;- application of derivatives

Q: Let f(x) = 6x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point…

A: Since we have given f ( x ) = 6x + 13 - 15 ex   To Find: the equation of the tangent line to the…

Q: Given that f(2) = -5 and f'(2) = 3, find an equation for the tangent line to the graph of y = f(x)…

A: we have to find equation of tangent line

Q: For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) Let f(x) =…

A: Use slope formula to solve

Q: Find the actual error when the first derivative of f(x) = e* at x = 1 is approximated by the…

A:

Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 & m=2To find point on the graph: Rules of differentiation: (1)…

Q: If g(x) = 6 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 6 −…

A: Given,

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: Let f(x) = 4x + 5 – 19e“. Then the equation of the tangent line to the graph of f(x) at the point…

A:

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

A:

Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

A:

Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: Let f(x) = 6x + 2 – 7e*. Then the equation of the tangent line to the graph of f(x) at the point (0,…

A: Here we find the tangent equation then we find the value of m and b.

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

A:

Q: Assume h(x) = (f(x))3. If f1(0)= −1/2, and f(0) = 8/3, determine an equation of the line tangent to…

A:

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

A:

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

A:

Q: Consider the following. f(x) = 4x2 + 9x – 17 %3D (a) Find the instantaneous rate of change of the…

A: Given: f(x)=4x2+9x-17

Q: We are given f(x) = 9x2 and f '(x) = 18x. Find the slope of the tangent to the graph of  y = f(x) at…

A: Given,

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A:

Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

A:

Q: Let f(x) = 8x + 10 – 3e². Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is: f(x)=8x+10-3ex

Q: Let f(x) = 2x + 15 – 7e". Then the equation of the tangent line to the graph of f(x) at the point…

A: We know that equations of tangent line at the point (x1,y1) is given as - ( y - y1 ) = m ( x - x1 ).…

Q: Let f(x) = 6x + 9 – 17e". Then the equation of the tangent line to the graph of f(x) at the point…

A: A tangent is a line which just touches a curve and in some sense is parallel to the curve. The slope…

Q: Use any method to find the slope of the tangent line to the graph of the function f (x) = – at the…

A: Given function is fx=1x2. To find the slope of the tangent line at x=5. Solution: The slope of the…

Q: ) Given that f(8) = 5 and f'(8) = 7 , find an equation for the tangent line to the graph of y = f(x)…

A:

Q: 5x- Find the equation of tangent to the graph of f(x) = at the point where the curve intersects the…

A: We find equation of tangent using application of derivatives