What is the derivative of 5sin(x*y) ?

The derivative of 5sin(x*y) is 5cos(xy)y

What is the first derivative of 5sin(x*y) ?

The first derivative of 5sin(x*y) is 5cos(xy)y

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derivative of

5 sin (x \cdot y)

5 cos (x y) y

Solution steps

\frac{d}{d x} (5 sin (x y))

Treat

y

as a constant

Take the constant out:

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

= 5 \frac{d}{d x} (sin (x y))

Apply the chain rule:

cos (x y) \frac{d}{d x} (x y)

= cos (x y) \frac{d}{d x} (x y)

\frac{d}{d x} (x y) = y

= 5 cos (x y) y

(x^{8} + 8) ln (x)

a^{2 x + 3}

\frac{4}{( 9 + x ^{2} )}

\frac{d}{d a} (\frac{( sec ( 16 a ) - 1 )}{( sec ( 8 a ) - 1 )})

5^{s} in x

What is the derivative of 5sin(x*y) ?
The derivative of 5sin(x*y) is 5cos(xy)y
What is the first derivative of 5sin(x*y) ?
The first derivative of 5sin(x*y) is 5cos(xy)y