Let k(x)=f Cx) A) K') B) K' (2) C)K' 3)

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

A:

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: Find the equation of the line tangent to the graph of fat (1, 2), where fis given by f(x) = 4x³ -…

A: Application of derivative

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: What is the y-intercept of y = tanx?

A: y=tanx

Q: Use the guidelines of this section to sketch the curve   y = x (x- 4 )3

A: Consider the given function: y=xx-43 Now make a table for function value at different points:

Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…