3. f(x) = (8, 2)

Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

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

A:

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: For the function, find the point(s) on the graph at which the tangent line has slope 9. y = -…

A:

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: An equation of the line tangent to the graph of f(x)= x(1-2x) at the point (1,-1) is

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Find the slope m of the line tangent to the graph of the function f(x)=9-x^2 at point P(4,-7).

A:

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

A:

Q: find the slope of the tangent line to the graph of f at the given point f(x)=x^2-8x+2 at (2,-10)

A:

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 3x2 -4,…

A: The given function is fx=3x2-4 and the point is 3,23.

Q: What is the equation of the tangent line to the graph of the function (given below) at x=-2 ?…

A: gx=3x2-2

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

A:

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f…

A: Given data: The given function is f(x)= -1- e-x. The slope of the tangent line is f'(x)=5. The…

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Given: The  slope of  a curve:   To determine: The equation of the curve f(x)

Q: Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the…

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 6 + In…

A:

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) =-6 and f'(2) =5.

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

Q: Given f(x) : , find f'(-1) using the definition of a derivative. x-2 Provide your answer below: f'(…

A:

Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Given, The function is f(x)=(x+2)2 and the point on the graph of f-1(x) is (36,4).

Q: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

A:

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

A:

Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

A:

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

A:

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

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

A:

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Using integration.

Q: Find the values of x for all points on the graph of f(x)=x3-2x2+5x-16x at which the slope of the…

A: The given function is

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 5/2 y = 9x…

A:

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

A:

Q: If f(x)  = 3x2 -x3, find f'(1) and use it to find an equationof the tangent line to the curve  y=…

A: Given that, y=fx=3x2-x3      ...(1)

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In…

A:

Q: Find a function with the given derivative whose graph passes through point P f'(x)=x-4, p(1,7)

A: Integrating on both sides, we get

Q: Find the slope of the tangent line to the graph of the function at the given point. F(x) = 2x2 – 5,…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: