Question

Prove that dx/dy
=1/dy/dx
.

Answer 1

\(\large\color{blue}{ \frac{a}{b} \div \frac{c}{d}= \frac{a}{b} \times \frac{d}{c} }\)


Use this rule to simplify the right side.

Answer 2

I'm not too sure about that. This is one of the questions i got for my calc exam. Also proofing questions are never one line long.

Answer 3

The question is pretty much asking to prove that a function is equal to the reciprocal of the inverse function/

Answer 4

dx/dy is the definition for derivative of x with respect to y if we now change the derivative with respect to x for y then we should divide with dx in denominator and numerator to get 1/dy/dx

Answer 5

http://www.physicsforums.com/showthread.php?t=63886