What is the derivative of-25sin(5x) ?

The derivative of-25sin(5x) is -125cos(5x)

What is the first derivative of-25sin(5x) ?

The first derivative of-25sin(5x) is -125cos(5x)

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\frac{d}{d x} (- 25 sin (5 x))

- 125 cos (5 x)

Solution steps

\frac{d}{d x} (- 25 sin (5 x))

Take the constant out:

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

= - 25 \frac{d}{d x} (sin (5 x))

Apply the chain rule:

cos (5 x) \frac{d}{d x} (5 x)

= cos (5 x) \frac{d}{d x} (5 x)

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

= - 25 cos (5 x) \cdot 5

Simplify

= - 125 cos (5 x)

f (x) = c x^{- 2}

\frac{\partial}{\partial x} (e^{x} cos (x^{2} + y^{2}))

y = x^{4} + 6 e^{x}, (0, 6)

x \to 1 lim (\frac{1 - x ^{2}}{1 - x})

(x - 2)^{2}, x

What is the derivative of-25sin(5x) ?
The derivative of-25sin(5x) is -125cos(5x)
What is the first derivative of-25sin(5x) ?
The first derivative of-25sin(5x) is -125cos(5x)