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Popular >

(dy)/(dx)=3x^2

Solution

\frac{d y}{d x} = 3 x^{2}

Solution

y = x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = 3 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x^{2}

If

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

then

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

y = \int 3 x^{2} d x

\int 3 x^{2} d x = x^{3} + c_{1}

y = x^{3} + c_{1}

Popular Examples

derivative of y=ln(5)x^2 derivative of

y = ln (5) x^{2}

integral of-2xe^x

\int - 2 x e^{x} d x

limit as x approaches 0-of x/(15x^5-5x)

x \to 0 - lim (\frac{x}{15 x ^{5} - 5 x})

integral of 4/((9-2x)^3)

\int \frac{4}{( 9 - 2 x ) ^{3}} d x

maclaurin f(x)=(2x-1)^2 maclaurin

f (x) = (2 x - 1)^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=3x^2 ?
The solution for (dy)/(dx)=3x^2 is y=x^3+c_{1}