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

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1a)

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

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

(f^−1)′(11)=

1b)

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

f(x)=x^2−11x+36, x≥5.5   Point=(8,12)

(f^−1)′(12)=

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