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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

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

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

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

Graph

Popular Examples

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tangent of x/(x^2+49)

limit as t approaches 2 of (t^2-4)/(t-2)

x^'+4x=te^{-4t}

Frequently Asked Questions (FAQ)

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