Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find ( f − 1 ) ( a ) . (Hint: See example 1.) f ( x ) = x + 6 x − 2 , x > 2 , a = 3
Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find ( f − 1 ) ( a ) . (Hint: See example 1.) f ( x ) = x + 6 x − 2 , x > 2 , a = 3
Solution Summary: The author explains that f(x) is monotonic (the derivative is always negative, so it's always decreasing). To calculate, we have to use (f-1)'
Evaluating the Derivative of an Inverse Function In Exercises 3-12, verify that f has an Inverse function. Then use the function f and the then real number a to find
(
f
−
1
)
(
a
)
. (Hint: See example 1.)
Calculus
finding the 4th derivative of f(x)=ln(3x+1).
Determining Differentiability In Exercises85–88, find the derivatives from the left and fromthe right at x = 1 (if they exist). Is the functiondifferentiable at x =1?
\text { 8. } f(x)=(1-x)^{2 / 3}
Finding inverse function of f(x)=4-x² ; x>0
Chapter 3 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
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