What is the derivative of 4sin(7x) ?

The derivative of 4sin(7x) is 28cos(7x)

What is the first derivative of 4sin(7x) ?

The first derivative of 4sin(7x) is 28cos(7x)

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\frac{d}{d x} (4 sin (7 x))

28 cos (7 x)

Solution steps

\frac{d}{d x} (4 sin (7 x))

Take the constant out:

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

= 4 \frac{d}{d x} (sin (7 x))

Apply the chain rule:

cos (7 x) \frac{d}{d x} (7 x)

= cos (7 x) \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= 4 cos (7 x) \cdot 7

Simplify

= 28 cos (7 x)

What is the derivative of 4sin(7x) ?
The derivative of 4sin(7x) is 28cos(7x)
What is the first derivative of 4sin(7x) ?
The first derivative of 4sin(7x) is 28cos(7x)