Online math courses > Derivatives > Basic examples > Exercise & answer > Intermediate math level > Solution 1

Derivative : solution exercise 1 (Intermediate math level)

Given the quadratic equation y = 3x2 + 2 and the function y = (1/2)x3 - 1, you are asked to :

a) Calculate the derivative y ' of both functions

b) Compute, for both curves, the slope of their tangent lines at x = 1 using the derivatives figured out hereabove

The slope of the tangent line to a curve at x = 1 is the value of its derivative at x = 1.

c) Find the equation of both tangent lines

d) Trace both curves and its tangent lines on a graph

online math textbook for free

free online math book
Both graphs have been drawn with our free online Graph Plotter which is a real scientific graphing calculator that enables you to trace any mathematical function online.

Derivatives: intermediate math level