What is the derivative of tan^4(x^3) ?

The derivative of tan^4(x^3) is 12x^2tan^3(x^3)sec^2(x^3)

What is the first derivative of tan^4(x^3) ?

The first derivative of tan^4(x^3) is 12x^2tan^3(x^3)sec^2(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

tan^{4} (x^{3})

12 x^{2} tan^{3} (x^{3}) sec^{2} (x^{3})

Solution steps

\frac{d}{d x} (tan^{4} (x^{3}))

Apply the chain rule:

4 (tan (x^{3}))^{3} \frac{d}{d x} (tan (x^{3}))

= 4 (tan (x^{3}))^{3} \frac{d}{d x} (tan (x^{3}))

\frac{d}{d x} (tan (x^{3})) = sec^{2} (x^{3}) \cdot 3 x^{2}

= 4 (tan (x^{3}))^{3} sec^{2} (x^{3}) \cdot 3 x^{2}

Simplify

= 12 x^{2} tan^{3} (x^{3}) sec^{2} (x^{3})

f (x) = x^{2}, x = 5

f (x) = \frac{sin ( x )}{1 + 2 cos ( x )}

y^{^{'}} = y - 2

\frac{\partial}{\partial x} (x ln (z^{7} + x^{3}))

y = \frac{1}{2 x - 2}

What is the derivative of tan^4(x^3) ?
The derivative of tan^4(x^3) is 12x^2tan^3(x^3)sec^2(x^3)
What is the first derivative of tan^4(x^3) ?
The first derivative of tan^4(x^3) is 12x^2tan^3(x^3)sec^2(x^3)