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Popular >

derivative of-10sin(2x+10)

Solution

\frac{d}{d x} (- 10 sin (2 x + 10))

Solution

- 20 cos (2 x + 10)

Solution steps

\frac{d}{d x} (- 10 sin (2 x + 10))

Take the constant out:

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

= - 10 \frac{d}{d x} (sin (2 x + 10))

Apply the chain rule:

cos (2 x + 10) \frac{d}{d x} (2 x + 10)

= cos (2 x + 10) \frac{d}{d x} (2 x + 10)

\frac{d}{d x} (2 x + 10) = 2

= - 10 cos (2 x + 10) \cdot 2

Simplify

= - 20 cos (2 x + 10)

Popular Examples

y^{''}+25y=-20sin(5t)

y^{^{''}} + 25 y = - 20 sin (5 t)

derivative of 3cos(3x+1)

\frac{d}{d x} (3 cos (3 x + 1))

limit as x approaches 81 of ((\sqrt[4]{x}-3))/(x-81)

(\partial)/(\partial u)(b((((Nu))/(V(u)))^{(2/3)}))

\frac{\partial}{\partial u} (b ((\frac{( N u )}{V ( u )})^{(\frac{2}{3})}))

integral from 1 to infinity of 1/(x^2)

\int_{1}^{\infty} \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of-10sin(2x+10) ?
The derivative of-10sin(2x+10) is -20cos(2x+10)
What is the first derivative of-10sin(2x+10) ?
The first derivative of-10sin(2x+10) is -20cos(2x+10)