Thread: Which of the following can be differentiated?

y = x^6 * 3^x

y = (6^x)/x

y = SQRT of x - (1/3)^x

y = x^6 + 3^x

Originally Posted by melliep

y = x^6 * 3^x

y = (6^x)/x

y = SQRT of x - (1/3)^x

y = x^6 + 3^x

All of them (one has an exceptional point where the derivative fails to exist). Is that the complete question?

CB

Oops no. It says which can be differentiated using the rules we've learned in class thus far.
We've learned the exponent rule, the a^x one, the product, quotient, and chain rules.

Have you tried differentiating them yourself? You say you've "learned the exponent rule, the a^x one, the product, quotient, and chain rules" so why can't you try differentiating them yourself?

Yes, that was rather stupid of me.
My question is, what is differentiating exactly? Is it just the act of finding the derivative?

Yep, that's the definition of differentiating.

Thank you.