What is (\partial)/(\partial x)(cos(4x+5y)*5) ?

The answer to (\partial)/(\partial x)(cos(4x+5y)*5) is -20sin(4x+5y)

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(\partial)/(\partial x)(cos(4x+5y)*5)

\frac{\partial}{\partial x} (cos (4 x + 5 y) \cdot 5)

- 20 sin (4 x + 5 y)

Solution steps

\frac{\partial}{\partial x} (cos (4 x + 5 y) \cdot 5)

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

- sin (4 x + 5 y) \frac{\partial}{\partial x} (4 x + 5 y)

= - sin (4 x + 5 y) \frac{\partial}{\partial x} (4 x + 5 y)

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

= 5 (- sin (4 x + 5 y) \cdot 4)

Simplify

= - 20 sin (4 x + 5 y)

\frac{5}{2 s ^{2} + 3 s + 1}

\frac{d}{d x} (0.3)

\frac{d}{d x} (5 cos (x) - 2 sin (3 x))

\int 15 x^{2} + C d x

\frac{\partial}{\partial x} (5 tan (x))

What is (\partial)/(\partial x)(cos(4x+5y)*5) ?
The answer to (\partial)/(\partial x)(cos(4x+5y)*5) is -20sin(4x+5y)