What is (\partial)/(\partial x)(2(y-5)(x+5)) ?

The answer to (\partial)/(\partial x)(2(y-5)(x+5)) is 2(y-5)

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(\partial)/(\partial x)(2(y-5)(x+5))

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

2 (y - 5)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (5) = 0

= 2 (y - 5) (1 + 0)

Simplify

= 2 (y - 5)

\frac{d}{d x} (arcsec (8 x))

\int - cos (x) + sin (x) + 5 d x

\int_{0}^{1} π (x - x^{2}) d x

x \to 2 lim (8 x + 3)

ln (10 x)

What is (\partial)/(\partial x)(2(y-5)(x+5)) ?
The answer to (\partial)/(\partial x)(2(y-5)(x+5)) is 2(y-5)