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Popular Calculus >

y^'=4-9x^2-6x^5

Solution

y^{^{'}} = 4 - 9 x^{2} - 6 x^{5}

Solution

y = 4 x - 3 x^{3} - x^{6} + c_{1}

Solution steps

y^{'} (x) = 4 - 9 x^{2} - 6 x^{5}

If

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

then

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

y = \int 4 - 9 x^{2} - 6 x^{5} d x

\int 4 - 9 x^{2} - 6 x^{5} d x = 4 x - 3 x^{3} - x^{6} + c_{1}

y = 4 x - 3 x^{3} - x^{6} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^'=4-9x^2-6x^5 ?
The solution for y^'=4-9x^2-6x^5 is y=4x-3x^3-x^6+c_{1}