How do you use the chain rule to differentiate y=5x34?

1 Answer
Apr 10, 2017

dydx=3x25(x34)45

Explanation:

Rewrite the function as,

y=(x34)15

The chain rule has a general forumla of,

dydx=dydududx

Applying that rule,

dydx=(x34)4515(3x2)

Simplify,

dydx=(x34)45(3x2)5

Rewrite (eliminate the negative exponents),

dydx=3x25(x34)45