What is the derivative of 7cos(7x) ?

The derivative of 7cos(7x) is -49sin(7x)

What is the first derivative of 7cos(7x) ?

The first derivative of 7cos(7x) is -49sin(7x)

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

- 49 sin (7 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 7 (- sin (7 x) \cdot 7)

Simplify

= - 49 sin (7 x)

\int_{0}^{2 π} x sin (x) d x

\int - 7 x d x

x \to - 2 + lim (\frac{x + 2}{x ^{3} + 8})

\frac{1}{x - 9}

\frac{\partial}{\partial y} (x^{5} + x y^{7} + 4)

What is the derivative of 7cos(7x) ?
The derivative of 7cos(7x) is -49sin(7x)
What is the first derivative of 7cos(7x) ?
The first derivative of 7cos(7x) is -49sin(7x)