How do you differentiate $y=cos^-1(-5x^3)$ ?

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Answer 1 · 2018-01-10T14:00:05

$dy/dx = (15x^2)/sqrt(1-25x^6)$

The derivative of $cos^-1(u) = -(u^')/sqrt(1-u^2)$

Here the function is $y=cos^-1(-5x^3)$ , so $dy/dx = -((-5x^3)^')/sqrt(1-(-5x^3)^2)=(15x^2)/sqrt(1-25x^6)$

How do you differentiate y=cos^-1(-5x^3)y=cos^-1(-5x^3)?