What is the derivative of (3x^2tan(x))/(sec(x)) ?

The derivative of (3x^2tan(x))/(sec(x)) is 3(x^2cos(x)+2xsin(x))

What is the first derivative of (3x^2tan(x))/(sec(x)) ?

The first derivative of (3x^2tan(x))/(sec(x)) is 3(x^2cos(x)+2xsin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

3 (x^{2} cos (x) + 2 x sin (x))

Solution steps

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

Simplify

\frac{3 x ^{2} tan ( x )}{sec ( x )} : 3 x^{2} tan (x) cos (x)

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = tan (x) cos (x)

= 3 (\frac{d}{d x} (x^{2}) tan (x) cos (x) + \frac{d}{d x} (tan (x) cos (x)) x^{2})

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

\frac{d}{d x} (tan (x) cos (x)) = cos (x)

= 3 (2 x tan (x) cos (x) + cos (x) x^{2})

cos (x) tan (x) = sin (x)

= 3 (x^{2} cos (x) + 2 x sin (x))

\frac{d}{d n} (\frac{2 ^{n}}{n !})

y = - 3^{2} + x + 2

\frac{d}{d x} ((x y - 1)^{2})

ln ((2 x - 3)^{2})

(\frac{1}{x}) (x^{2} - 2)

What is the derivative of (3x^2tan(x))/(sec(x)) ?
The derivative of (3x^2tan(x))/(sec(x)) is 3(x^2cos(x)+2xsin(x))
What is the first derivative of (3x^2tan(x))/(sec(x)) ?
The first derivative of (3x^2tan(x))/(sec(x)) is 3(x^2cos(x)+2xsin(x))