Question

How do you differentiate `y = x^5 + (7 − x)^5`?

Answer 1

`dy/dx = 5(x^4-(7-x)^4)`

Explanation:

`y = x^5+(7-x)^5`

Apply power rule and chain rule.

`dy/dx= 5x^4 + 5(7-x)^4 * d/dx(7-x)`

`= 5x^4+5(7-x)^4 * (0-1)`

`= 5(x^4-(7-x)^4)`