Calculus – Find the Derivative using the Chain Rule and Quotient Rule

By | October 25, 2016

Find the Derivative using the Chain Rule and Quotient Rule

In this tutorial students learn how to evaluate the derivative of a function.  The students will use the chain rule, power rule and quotient rule.

Power Rule

y'={ nx }^{ n-1 }

Quotient Rule

y'=\frac { uv'-u'v }{ { u }^{ 2 } } 

Chain Rule

F(x)=g'(h(x))\bullet h'(x)

The students are going to find the derivative of the following function.

y=({ \frac { 1+x }{ 1-x }  })^{ 3 }

Virginia Standards of Learning(SOL)

SOL APC.9

The student will apply formulas to find derivatives. This will include

  1. a) derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions;
  2. b) derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions;
  3. c) derivatives of implicitly defined functions; and
  4. d) higher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functions.