Mathematics

Mathematics

Problem

Find the derivative of each expression and simplify. The answers are in Chapter 23, starting on page 460. 5. 12(x12+17)\frac{1}{2}\left(x^{12}+17\right)
Intuitive explanation

The key here is recognizing that constants don't change, so they vanish when you differentiate. Use the power rule on x12x^{12}—bring the exponent down and reduce it by one—then remember that 1717 contributes nothing to the rate of change. The 12\frac{1}{2} coefficient just scales whatever you get from the xx term.

Intuitive explanation

The key here is recognizing that constants don't change, so they vanish when you differentiate. Use the power rule on x12x^{12}—bring the exponent down and reduce it by one—then remember that 1717 contributes nothing to the rate of change. The 12\frac{1}{2} coefficient just scales whatever you get from the xx term.

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