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Popular >

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

Solution

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

Solution

y = tan (x) + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

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

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

y = tan (x) + c_{1}

Popular Examples

limit as x approaches infinity of 3x-x^2

x \to \infty lim (3 x - x^{2})

8y^{''}+6y^'-y=11

8 y^{^{''}} + 6 y^{^{'}} - y = 11

limit as h approaches 0 of cos(pi/2)

h \to 0 lim (cos (\frac{π}{2}))

integral from 0 to 4 of e^{sqrt(x)}

\int_{0}^{4} e^{x} d x

derivative of-ln(2x)

\frac{d}{d x} (- ln (2 x))

Frequently Asked Questions (FAQ)

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