en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3ln(x-4x^3-5x)

Solution

\frac{d}{d x} (3 ln (x) - 4 x^{3} - 5 x)

Solution

\frac{3}{x} - 12 x^{2} - 5

Solution steps

\frac{d}{d x} (3 ln (x) - 4 x^{3} - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 ln (x)) - \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (5 x)

\frac{d}{d x} (3 ln (x)) = \frac{3}{x}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (5 x) = 5

= \frac{3}{x} - 12 x^{2} - 5

Graph

Popular Examples

integral of 1/(sqrt(4x^2-4x+5))

\int \frac{1}{4 x ^{2} - 4 x + 5} d x

derivative of log_{2}(e^{-x}cos(pix))

\frac{d}{d x} (lo g_{2} (e^{- x} cos (π x)))

tangent of h(x)=(x^2)/(x-5)tangent of

h (x) = \frac{x ^{2}}{x - 5}

integral of sin^{27}(x)cos(x)

\int sin^{27} (x) cos (x) d x

tangent of f(x)=e^xcos(x),\at x=0 tangent of

f (x) = e^{x} cos (x), at x = 0

Frequently Asked Questions (FAQ)

What is the derivative of 3ln(x-4x^3-5x) ?
The derivative of 3ln(x-4x^3-5x) is 3/x-12x^2-5
What is the first derivative of 3ln(x-4x^3-5x) ?
The first derivative of 3ln(x-4x^3-5x) is 3/x-12x^2-5