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Popular >

d/(d{y)}(-9sin(3{x}+{y}{z}))

Solution

\frac{d}{d y} (- 9 sin (3 x + y z))

Solution

- 9 cos (3 x + y z) z

Solution steps

\frac{d}{d y} (- 9 sin (3 x + y z))

Take the constant out:

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

= - 9 \frac{d}{d y} (sin (3 x + y z))

Apply the chain rule:

cos (3 x + y z) \frac{d}{d y} (3 x + y z)

= cos (3 x + y z) \frac{d}{d y} (3 x + y z)

\frac{d}{d y} (3 x + y z) = z

= - 9 cos (3 x + y z) z

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Frequently Asked Questions (FAQ)

What is the d/(d{y)}(-9sin(3{x}+{y}{z})) ?
The d/(d{y)}(-9sin(3{x}+{y}{z})) is -9cos(3{x}+{y}{z}){z}
What is the first d/(d{y)}(-9sin(3{x}+{y}{z})) ?
The first d/(d{y)}(-9sin(3{x}+{y}{z})) is -9cos(3{x}+{y}{z}){z}