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Popular >

derivative of sqrt(3+5sin(s))

Solution

derivative of

3 + 5 sin (s)

Solution

\frac{5 cos ( s )}{2 3 + 5 sin ( s )}

Solution steps

\frac{d}{d s} (3 + 5 sin (s))

Apply the chain rule:

\frac{1}{2 3 + 5 sin ( s )} \frac{d}{d s} (3 + 5 sin (s))

= \frac{1}{2 3 + 5 sin ( s )} \frac{d}{d s} (3 + 5 sin (s))

\frac{d}{d s} (3 + 5 sin (s)) = 5 cos (s)

= \frac{1}{2 3 + 5 sin ( s )} \cdot 5 cos (s)

Simplify

\frac{1}{2 3 + 5 sin ( s )} \cdot 5 cos (s) : \frac{5 cos ( s )}{2 3 + 5 sin ( s )}

= \frac{5 cos ( s )}{2 3 + 5 sin ( s )}

Popular Examples

derivative of (x^2/(7+8x))

\frac{d}{d x} (\frac{x ^{2}}{7 + 8 x})

(\partial)/(\partial x)(1/(x^2+y^2+z^2))

\frac{\partial}{\partial x} (\frac{1}{x ^{2} + y ^{2} + z ^{2}})

limit as x approaches pi of tan(x/2)

x \to π lim (tan (\frac{x}{2}))

limit as x approaches-4 of x^2-5

x \to - 4 lim (x^{2} - 5)

(\partial)/(\partial x)(e^{xy}cos(2x)-3y)

\frac{\partial}{\partial x} (e^{x y} cos (2 x) - 3 y)

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3+5sin(s)) ?
The derivative of sqrt(3+5sin(s)) is (5cos(s))/(2sqrt(3+5sin(s)))
What is the first derivative of sqrt(3+5sin(s)) ?
The first derivative of sqrt(3+5sin(s)) is (5cos(s))/(2sqrt(3+5sin(s)))