By using the definition of the derivative, find the equation of the tangent line to the graph of f(x) = x2 at x = 2 .

Q: x5/2+4 x3 y = 3

A: We have to find the derivative of the given expression: y=x52+4x3x3 Simplifying the given…

Q: 0.12 200e

A:

Q: Find the derivative of the function (slope of the tangent) using the definition at the point Xo=9…

A:

Q: What is the derivative of f(x)= -3

A: Given f(x) = - 3

Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

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: