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

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SUMMARY

The derivative of the function (5t2 + 1)4 was correctly calculated using the chain rule. The participant applied the derivative of the outer function and multiplied it by the derivative of the inner function, resulting in the expression (5t2)(ln 5)(2t) * 4(5t2 + 1)3. This confirms the proper application of differentiation techniques for functions with exponents.

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coolbeans33
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can you help me find the derivative of: (5t^2+1)4

this is what I did:

(5t^2)(ln 5)(2t) * 4(5t^2+1)3

did I do this right?
 
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Re: derivative with many exponents

Yep! Looks good to me. You took the derivative of the outermost part then applied the chain rule.
 
Re: derivative with many exponents

coolbeans33 said:
can you help me find the derivative of: (5t^2+1)4

this is what I did:

(5t^2)(ln 5)(2t) * 4(5t^2+1)3

did I do this right?

Yep.
 

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