What is the derivative of $(6x-5)^4$ ?

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Answer 1 · 2015-08-15T20:22:55

$y^' = 24 * (6x-5)^3$

You can differentiate this function by using the chain rule for $y = u^4$ , with $u = 6x-5$ .

This means that you can write

$d/dx(y) = [d/(du)(u^4)] * d/dx(u)$

$y^' = 4u^3 * d/dx(6x-5)$

$y^' = 4 * (6x-5)^3 * 6$

$y^' = color(green)(24 * (6x-5)^3)$

What is the derivative of (6x-5)^4(6x-5)^4?