Calculus Section 5.3 Differentiate exponential functions If f(x) = e x then f’(x) = e x f(x) = x 3 e x y= √(e x – x) Examples. Find the derivative. y =

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Presentation transcript:

Calculus Section 5.3 Differentiate exponential functions If f(x) = e x then f’(x) = e x f(x) = x 3 e x y= √(e x – x) Examples. Find the derivative. y = e x + 7 x 2

If f(x) = e u then f’(x) = e u Differentiate. y = e 8x y = (1+e 3x ) 12 Find the critical numbers of f(x) = 1 + xe x

Use implicit differentiation. xe y + ye x = x

If f(x) = a x then f’(x) = a x ln a Find the derivative. f(x) = 3 x f(x) = x(10 x )

If f(x) = a u then f’(x) = a u ln a Differentiate. f(x) = 4 2x + 1

assignment Page 284 Problems 2 – 38 even, 44,46 58 – 64 even, 70,72,74,80,82,84,86