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Popular >

(dy)/(dx)=6x-30

Solution

\frac{d y}{d x} = 6 x - 30

Solution

y = 3 x^{2} - 30 x + c_{1}

Solution steps

\frac{d y}{d x} = 6 x - 30

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 6 x - 30

If

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

then

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

y = \int 6 x - 30 d x

\int 6 x - 30 d x = 3 x^{2} - 30 x + c_{1}

y = 3 x^{2} - 30 x + c_{1}

Popular Examples

integral of xsqrt(x^2+7)

\int x x^{2} + 7 d x

integral of 1/(2000(2000-x))

\int \frac{1}{2000 ( 2000 - x )} d x

derivative of f(x)=x^a(1-x)^b derivative of

f (x) = x^{a} (1 - x)^{b}

tangent of f(x)=9-4x+6x^2,\at x=8 tangent of

f (x) = 9 - 4 x + 6 x^{2}, at x = 8

(\partial)/(\partial y)(y^2e^{xy^2})

\frac{\partial}{\partial y} (y^{2} e^{x y^{2}})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6x-30 ?
The solution for (dy)/(dx)=6x-30 is y=3x^2-30x+c_{1}