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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Graph

Popular Examples

tangent of (10x)/(1+x^2)

t an g e n t \frac{10 x}{1 + x ^{2}}

derivative of sinh(5x)

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

integral of ((2x+5))/(x^2+5x+6)

\int \frac{( 2 x + 5 )}{x ^{2} + 5 x + 6} d x

integral of (21x^2)/(sqrt(x^2-4))

\int \frac{21 x ^{2}}{x ^{2} - 4} d x

derivative of (3x^5+8/(x^3))

\frac{d}{d x} (\frac{3 x ^{5} + 8}{x ^{3}})

Frequently Asked Questions (FAQ)

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