1. If f(x) = g(x)∙ h(x) then f’(x) = g’(x)∙h(x) + g(x)∙h’(x)
Calculus Section 3.5 Use the Product and Quotient Rules to find derivatives
Consider: f(x) = x3 and g(x) = x2∙x are equivalent functions.
f’(x) = 3x2. How is g’(x) calculated? Can you take the derivative of each factor? g’(x) = (2x)(1) ??? No!
Product Rule:
If f(x) = g(x)∙ h(x) then f’(x) = g’(x)∙h(x) + g(x)∙h’(x)
Find the f’(x) if f(x) = (4x+5)(2x-3)

2. Find the derivative
y = (1/x)(2x2 + 4x – 3)

3. Quotient Rule If f(x) = g(x) then f’(x) = g’(x)∙h(x) – g(x)∙h’(x) h(x) [h(x)]2
Find the derivative of f(x) = 2x2 + 3x + 1 x + 4

4. Find the derivative
y = 3x2 – 4x x2+7x+1 f(x) = (3x+4)(5x-6) x2 + 2x + 1 y = x2 8

5. Find the slope of a function at a given point using a calculator
TI 84 MATH nDeriv(<function,variable,value> ENTER TI Nspire Menu Calculus Numerical Deriv at pt Variable X Value <value of x> 1st Deriv ( x2 - 5x +3) x=2
Find the slope of f(x) = x2 - 5x + 3 at(2,-3) nDeriv(x2 - 5x + 3 ,x,2) -1

6. assignment
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Problems 2 –46 even