en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)=2tan^2(x)

Solution

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

Solution

y = 2 (- x + tan (x)) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 2 tan^{2} (x)

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 2 tan^{2} (x) d x

\int 2 tan^{2} (x) d x = 2 (- x + tan (x)) + c_{1}

y = 2 (- x + tan (x)) + c_{1}

Graph

Popular Examples

integral from-1 to 1 of e^{-x^2}

limit as x approaches 0 of x^{1/(ln(x))}

integral of 3cos(n)x

sum from n=1 to infinity of 2/(1+e^n)

derivative of ((sqrt(x)-3)/(sqrt(x)+3))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2tan^2(x) ?
The solution for (dy)/(dx)=2tan^2(x) is y=2(-x+tan(x))+c_{1}