What is (\partial)/(\partial x)(-10x+7y^5) ?

The answer to (\partial)/(\partial x)(-10x+7y^5) is -10

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(\partial)/(\partial x)(-10x+7y^5)

\frac{\partial}{\partial x} (- 10 x + 7 y^{5})

- 10

Solution steps

\frac{\partial}{\partial x} (- 10 x + 7 y^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= - \frac{\partial}{\partial x} (10 x) + \frac{\partial}{\partial x} (7 y^{5})

\frac{\partial}{\partial x} (10 x) = 10

\frac{\partial}{\partial x} (7 y^{5}) = 0

= - 10 + 0

Simplify

= - 10

\frac{d}{d x} (\frac{1}{4 x ^{3}} - \frac{6}{5 x ^{4}})

\frac{d y}{d x} = (\frac{2 y + 5}{8 x + 7})^{2}

y^{^{'}} - 3 y = 3 e^{4 t}

2 x + y + (x + 2 y) \cdot y^{^{'}} = 0

f (x) = 4 x^{2} + 5 x - 5

What is (\partial)/(\partial x)(-10x+7y^5) ?
The answer to (\partial)/(\partial x)(-10x+7y^5) is -10