1a) An invertible function f(x) is given along with a point that lies on its graph....

1a)

An invertible function f(x) is given along with a point that lies on its graph. Using Theorem 2.7.1, evaluate (f−1)′(x) at the indicated value.

f(x)=11e^2x, Point=(0,11)

(f^−1)′(11)=

1b)

An invertible function f(x) is given along with a point that lies on its graph. Using Theorem 2.7.1, evaluate (f−1)′(x) at the indicated value.

f(x)=2x+sin3x. −π/6 ≤ x ≤ π/6 Point=(π/18, 2π/18+0.5)

(f^−1)′(2π/18+0.5)=

1c)

An invertible function f(x) is given along with a point that lies on its graph. Using Theorem 2.7.1, evaluate (f−1)′(x)at the indicated value.

f(x)=x^2−11x+36, x≥5.5 Point=(8,12)

(f^−1)′(12)=

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Expert Solution

Colby Messinger answered 1 year ago

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