What is the derivative of 9x^2sin(x)tan(x) ?

The derivative of 9x^2sin(x)tan(x) is 9(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

What is the first derivative of 9x^2sin(x)tan(x) ?

The first derivative of 9x^2sin(x)tan(x) is 9(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

9 x^{2} sin (x) tan (x)

9 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

Solution steps

\frac{d}{d x} (9 x^{2} sin (x) tan (x))

Take the constant out:

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

= 9 \frac{d}{d x} (x^{2} sin (x) tan (x))

Apply the Product Rule:

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

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

= 9 (\frac{d}{d x} (x^{2}) sin (x) tan (x) + \frac{d}{d x} (sin (x) tan (x)) x^{2})

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

\frac{d}{d x} (sin (x) tan (x)) = sin (x) (1 + sec^{2} (x))

= 9 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

\int a cos (t) d t

\frac{d y}{d x} = \frac{5 ( 3 - y ) ^{2}}{( 3 - x ) ^{2}}

\frac{d}{d x} (\frac{7}{10} x^{2} + 4^{3})

\frac{d y}{d x} = \frac{18 ( 2 + y ) ^{2}}{( 1 - 3 x ) ^{2}}

\int (x^{2} - 2 x + 3) ln (x) d x

What is the derivative of 9x^2sin(x)tan(x) ?
The derivative of 9x^2sin(x)tan(x) is 9(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)
What is the first derivative of 9x^2sin(x)tan(x) ?
The first derivative of 9x^2sin(x)tan(x) is 9(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)