What is the derivative of y=tan(4x^2) ?

The derivative of y=tan(4x^2) is sec^2(4x^2)*8x

What is the first derivative of y=tan(4x^2) ?

The first derivative of y=tan(4x^2) is sec^2(4x^2)*8x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = tan (4 x^{2})

sec^{2} (4 x^{2}) \cdot 8 x

Solution steps

\frac{d}{d x} (tan (4 x^{2}))

Apply the chain rule:

sec^{2} (4 x^{2}) \frac{d}{d x} (4 x^{2})

= sec^{2} (4 x^{2}) \frac{d}{d x} (4 x^{2})

\frac{d}{d x} (4 x^{2}) = 8 x

= sec^{2} (4 x^{2}) \cdot 8 x

What is the derivative of y=tan(4x^2) ?
The derivative of y=tan(4x^2) is sec^2(4x^2)*8x
What is the first derivative of y=tan(4x^2) ?
The first derivative of y=tan(4x^2) is sec^2(4x^2)*8x