Find ( y^{prime} ) if ( x^{y}=y^{x} ).
Added by Ng?C T.
Close
Step 1
\[ \ln(x^y) = \ln(y^x) \] Show more…
Show all steps
Your feedback will help us improve your experience
Ivan Kochetkov and 58 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
Find y' if x^y = y^x
Ivan K.
Find $ y' $ if $ x^y = y^x. $
Differentiation Rules
Derivatives of Logarithmic Functions
Find $y^{\prime}$. $$ y=x\left(\sin ^{-1} x\right) $$
More About Derivatives
Implicit Differentiation; Derivatives of the Inverse Trigonometric Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD