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