Question
$y=f^{-1}(x)$ As $g^{\prime \prime}(y)=-\frac{f^{\prime \prime}(x)}{\left(f^{\prime}(x)\right)^{3}}=-\frac{4}{8}=-\frac{1}{2}$
Step 1
Step 1: Given that $y=f^{-1}(x)$, we can find the derivative of $y$ with respect to $x$ using the chain rule. Show more…
Show all steps
Your feedback will help us improve your experience
Kamalesh Kumar and 94 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
$$ f(x, y)=x^{2} y ; L(x, y)=4 y-4 x+8 $$
Partial Derivatives
Differentiability, Differentials, And Local Linearity
$$f(x, y)=x^{2} y^{3}-x^{4}+y^{5}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD