What is (\partial)/(\partial x)(4x^2+5xy^2) ?

The answer to (\partial)/(\partial x)(4x^2+5xy^2) is 8x+5y^2

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(\partial)/(\partial x)(4x^2+5xy^2)

\frac{\partial}{\partial x} (4 x^{2} + 5 x y^{2})

8 x + 5 y^{2}

Solution steps

\frac{\partial}{\partial x} (4 x^{2} + 5 x y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 x^{2}) + \frac{\partial}{\partial x} (5 x y^{2})

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

\frac{\partial}{\partial x} (5 x y^{2}) = 5 y^{2}

= 8 x + 5 y^{2}

\int (1 - 2 x) d x

f (x) = 2 x - 8, [7, 10]

\frac{d}{d t} (- 2 a sin (2 t) + 2 b cos (2 t))

n = 0 \sum \infty 3 n

x - 1 - 0.5 sin (x)

What is (\partial)/(\partial x)(4x^2+5xy^2) ?
The answer to (\partial)/(\partial x)(4x^2+5xy^2) is 8x+5y^2