3.8 Derivatives of Inverse Functions Wed Oct 5

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3.8 Derivatives of Inverse Functions Wed Oct 5 Do Now Find the inverse of each function 1) Y = 3x - 5 2) Y = x^4 + 10

HW Review: p.175

Derivative of the Inverse Assume f(x) is differentiable and And if f’(g(x)) is not 0 then

Inverse Derivatives We can use the previous theorem to find the derivative of an inverse We can also find the inverse first and differentiate directly

Ex 2 Calculate g’(1) where g(x) is the inverse of f(x) = x + e^x

Inverse Trig Derivatives One of these six might appear on the AP exam:

Closure Calculate where x = 0 HW: p.181 #3 13 18 19 25 29 33 37 41