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Popular >

derivative of sin(-1(2x+1))

Solution

\frac{d}{d x} (sin (- 1 (2 x + 1)))

Solution

- cos (1 + 2 x) \cdot 2

Solution steps

\frac{d}{d x} (sin (- 1 \cdot (2 x + 1)))

Simplify

sin (- 1 \cdot (2 x + 1)) : - sin (1 + 2 x)

= \frac{d}{d x} (- sin (1 + 2 x))

Take the constant out:

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

= - \frac{d}{d x} (sin (1 + 2 x))

Apply the chain rule:

cos (1 + 2 x) \frac{d}{d x} (1 + 2 x)

= cos (1 + 2 x) \frac{d}{d x} (1 + 2 x)

\frac{d}{d x} (1 + 2 x) = 2

= - cos (1 + 2 x) \cdot 2

Popular Examples

integral of-sec^2((3x)/2)

\int - sec^{2} (\frac{3 x}{2}) d x

derivative of (ln(2x)/(sqrt(x)))

\frac{d}{d x} (\frac{ln ( 2 x )}{x})

integral from 0 to pi/2 of x*sin(x)

\int_{0}^{\frac{π}{2}} x \cdot sin (x) d x

derivative of cos(2ln(x))

\frac{d}{d x} (cos (2 ln (x)))

integral of (10)/(r^2+1)

\int \frac{10}{r ^{2} + 1} d r

Frequently Asked Questions (FAQ)

What is the derivative of sin(-1(2x+1)) ?
The derivative of sin(-1(2x+1)) is -cos(1+2x)*2
What is the first derivative of sin(-1(2x+1)) ?
The first derivative of sin(-1(2x+1)) is -cos(1+2x)*2