en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 6x^3-tan(x)

Solution

derivative of

6 x^{3} - tan (x)

Solution

18 x^{2} - sec^{2} (x)

Solution steps

\frac{d}{d x} (6 x^{3} - tan (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (tan (x))

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

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

= 18 x^{2} - sec^{2} (x)

Popular Examples

(\partial)/(\partial x)(xy(1-7x-4y))

\frac{\partial}{\partial x} (x y (1 - 7 x - 4 y))

area 8cos(2x),8-8cos(2x),0, pi/2 area

8 cos (2 x), 8 - 8 cos (2 x), 0, \frac{π}{2}

limit as x approaches 0+of x-1/(x^3)

x \to 0 + lim (x - \frac{1}{x ^{3}})

(\partial)/(\partial x)(ln(1+x^2+e^y+z))

\frac{\partial}{\partial x} (ln (1 + x^{2} + e^{y} + z))

tangent of y=sec(x),(pi/6 ,(2sqrt(3))/3)tangent of

y = sec (x), (\frac{π}{6}, \frac{2 3}{3})

Frequently Asked Questions (FAQ)

What is the derivative of 6x^3-tan(x) ?
The derivative of 6x^3-tan(x) is 18x^2-sec^2(x)
What is the first derivative of 6x^3-tan(x) ?
The first derivative of 6x^3-tan(x) is 18x^2-sec^2(x)