What is the derivative of 5sin(-3x+pi/4) ?

The derivative of 5sin(-3x+pi/4) is -15cos(-3x+pi/4)

What is the first derivative of 5sin(-3x+pi/4) ?

The first derivative of 5sin(-3x+pi/4) is -15cos(-3x+pi/4)

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derivative of

5 sin (- 3 x + \frac{π}{4})

- 15 cos (- 3 x + \frac{π}{4})

Solution steps

\frac{d}{d x} (5 sin (- 3 x + \frac{π}{4}))

Take the constant out:

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

= 5 \frac{d}{d x} (sin (- 3 x + \frac{π}{4}))

Apply the chain rule:

cos (- 3 x + \frac{π}{4}) \frac{d}{d x} (- 3 x + \frac{π}{4})

= cos (- 3 x + \frac{π}{4}) \frac{d}{d x} (- 3 x + \frac{π}{4})

\frac{d}{d x} (- 3 x + \frac{π}{4}) = - 3

= 5 cos (- 3 x + \frac{π}{4}) (- 3)

Simplify

= - 15 cos (- 3 x + \frac{π}{4})

x \to 3 lim (5^{2} - 9 x + 7)

\int_{- 2}^{3} x^{2} - 3 d x

e^{5 t} t^{3}

\int x^{3} x^{2} + 1 d x

\int \frac{e ^{3 x}}{e ^{3 x} + 2} d x

What is the derivative of 5sin(-3x+pi/4) ?
The derivative of 5sin(-3x+pi/4) is -15cos(-3x+pi/4)
What is the first derivative of 5sin(-3x+pi/4) ?
The first derivative of 5sin(-3x+pi/4) is -15cos(-3x+pi/4)