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Popular >

(dy)/(dx)=9x^3

Solution

\frac{d y}{d x} = 9 x^{3}

Solution

y = \frac{9 x ^{4}}{4} + c_{1}

Solution steps

\frac{d y}{d x} = 9 x^{3}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 9 x^{3}

If

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

then

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

y = \int 9 x^{3} d x

\int 9 x^{3} d x = \frac{9 x ^{4}}{4} + c_{1}

y = \frac{9 x ^{4}}{4} + c_{1}

Popular Examples

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\frac{d}{d x} (cot (π) x \cdot sec (π) x)

derivative of 5x+6 derivative of

5 x + 6

derivative of f(x)=ln(x+sqrt(x^2-12))derivative of

f (x) = ln (x + x^{2} - 12)

tangent of y=(-2x)/((x^2+1))tangent of

y = \frac{- 2 x}{( x ^{2} + 1 )}

limit as x approaches 0 of x/0

x \to 0 lim (\frac{x}{0})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=9x^3 ?
The solution for (dy)/(dx)=9x^3 is y=(9x^4)/4+c_{1}