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Popular >

(\partial)/(\partial x)(x^6y^8-x^5y^7)

Solution

\frac{\partial}{\partial x} (x^{6} y^{8} - x^{5} y^{7})

Solution

6 y^{8} x^{5} - 5 y^{7} x^{4}

Solution steps

\frac{\partial}{\partial x} (x^{6} y^{8} - x^{5} y^{7})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x^{6} y^{8}) - \frac{\partial}{\partial x} (x^{5} y^{7})

\frac{\partial}{\partial x} (x^{6} y^{8}) = 6 y^{8} x^{5}

\frac{\partial}{\partial x} (x^{5} y^{7}) = 5 y^{7} x^{4}

= 6 y^{8} x^{5} - 5 y^{7} x^{4}

Popular Examples

limit as x approaches 0+of tan((3x)^x)

x \to 0 + lim (tan ((3 x)^{x}))

derivative of 8pir^2 derivative of

8 π r^{2}

integral of sin(6x)sin(2x)

\int sin (6 x) sin (2 x) d x

y^{''}+6y^'+8y=0

y^{^{''}} + 6 y^{^{'}} + 8 y = 0

integral of x^{-4}+x^{1/3}

\int x^{- 4} + x^{\frac{1}{3}} d x

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(x^6y^8-x^5y^7) ?
The answer to (\partial)/(\partial x)(x^6y^8-x^5y^7) is 6y^8x^5-5y^7x^4