Question

tan^3x derivative of the function​

Answer 1

Answer:

tan^3x derivative of the function is 3.tan^2(x).sec^2(x)

Step-by-step explanation:

Let,

y=tan ^3x

dy/dx=d/dx(tan^3(x))

dy/dx=3.tan^2(x).d/dxtan(x)

dy/dx=3.tan^2(x).sec^2(x)

Answer 2

$let \: \: \: \: \: \: \: y = {tan}^{3} x \\ \\ \frac{dy}{dx} = 3 {tan}^{2} x \: \frac{d}{dx} tanx \\ \\ \frac{dy}{dx} = 3 {tan}^{2} x \: {sec}^{2} x$