Solution Found!
Derive the formula for the derivative of y = tan-1 x by
Chapter 3, Problem 52E(choose chapter or problem)
QUESTION:
Derive the formula
\(\frac{d y}{d x}=\frac{1}{1+x^{2}}\)
for the derivative of \(y=\tan ^{-1} x\)by differentiating both sides of the equivalent equation tan \(y=x\).
Equation Transcription:
Text Transcription:
dy/dx = 1/1+x^2
y=tan^-1 x
y=x
Questions & Answers
QUESTION:
Derive the formula
\(\frac{d y}{d x}=\frac{1}{1+x^{2}}\)
for the derivative of \(y=\tan ^{-1} x\)by differentiating both sides of the equivalent equation tan \(y=x\).
Equation Transcription:
Text Transcription:
dy/dx = 1/1+x^2
y=tan^-1 x
y=x
ANSWER:SOLUTION
Step 1 of 4
Here, we have to derive the formula for the derivative of by differentiating both sides of the equation .