MHB Did I Find the Derivative of (5t^2+1)^4 Correctly?

[coolbeans33]

can you help me find the derivative of: (5^{t^2}+1)⁴

this is what I did:

(5^{t^2})(ln 5)(2t) * 4(5^{t^2}+1)³

did I do this right?

 

[Jameson]

Re: derivative with many exponents

Yep! Looks good to me. You took the derivative of the outermost part then applied the chain rule.

 

[I like Serena]

Re: derivative with many exponents

can you help me find the derivative of: (5^{t^2}+1)⁴

this is what I did:

(5^{t^2})(ln 5)(2t) * 4(5^{t^2}+1)³

did I do this right?

Yep.