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Popular >

(df)/(dx)x=x^3

Solution

\frac{df}{d x} x = x^{3}

Solution

f (x) = \frac{x ^{3}}{3} + c_{1}

Solution steps

\frac{df}{d x} x = x^{3}

Substitute

\frac{df}{d x}

with

f^{'} (x)

f^{^{'}} (x) x = x^{3}

Isolate

f^{'} (x) : f^{'} (x) = x^{2}

If

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

then

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

f (x) = \int x^{2} d x

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

f (x) = \frac{x ^{3}}{3} + c_{1}

Popular Examples

integral of 1/(\sqrt[7]{x^2)}

integral of ((2x^2-1))/(x-x^3)

\int \frac{( 2 x ^{2} - 1 )}{x - x ^{3}} d x

derivative of sin(tan(x^5))

\frac{d}{d x} (sin (tan (x^{5})))

integral of (11x^3-1)/(\sqrt[3]{x)}

(dy)/(dx)=3-0.0003y

\frac{d y}{d x} = 3 - 0.0003 y

Frequently Asked Questions (FAQ)

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