How do you differentiate #y = 2^xlog_2(x^4)#?
3 Answers
Explanation:
Use the product rule to differentiate y. Call the first one be f and the second one be g and take the derivatives of each of them then put it in to the product rule
Explanation:
Applying product rule as:
finally,
Simplifying,
To solve this problem it would help if we remember these two intermediate results (proof given below),
Result 1:
Result 2:
Applying the Chain Rule,
Apply the two results mentioned above,
Proof of Result 1:
Let
Differentiating once,
Proof of Result 2:
Let
Using the logarithm-base rule,