What is the derivative of sqrt(8+cos(t^2)) ?

The derivative of sqrt(8+cos(t^2)) is -(tsin(t^2))/(sqrt(8+cos(t^2)))

What is the first derivative of sqrt(8+cos(t^2)) ?

The first derivative of sqrt(8+cos(t^2)) is -(tsin(t^2))/(sqrt(8+cos(t^2)))

Popular >

derivative of

8 + cos (t^{2})

- \frac{t sin ( t ^{2} )}{8 + cos ( t ^{2} )}

Solution steps

\frac{d}{d t} (8 + cos (t^{2}))

Apply the chain rule:

\frac{1}{2 8 + cos ( t ^{2} )} \frac{d}{d t} (8 + cos (t^{2}))

= \frac{1}{2 8 + cos ( t ^{2} )} \frac{d}{d t} (8 + cos (t^{2}))

\frac{d}{d t} (8 + cos (t^{2})) = - 2 t sin (t^{2})

= \frac{1}{2 8 + cos ( t ^{2} )} (- 2 t sin (t^{2}))

Simplify

\frac{1}{2 8 + cos ( t ^{2} )} (- 2 t sin (t^{2})) : - \frac{t sin ( t ^{2} )}{8 + cos ( t ^{2} )}

= - \frac{t sin ( t ^{2} )}{8 + cos ( t ^{2} )}

x \to \frac{3 π}{2} lim (- 2 tan (x))

\int sin^{2} (7 x) d x

\frac{\partial}{\partial x} (3 x^{3 y})

y^{^{''}} + y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 2

x \to \infty lim (e^{3 x})

What is the derivative of sqrt(8+cos(t^2)) ?
The derivative of sqrt(8+cos(t^2)) is -(tsin(t^2))/(sqrt(8+cos(t^2)))
What is the first derivative of sqrt(8+cos(t^2)) ?
The first derivative of sqrt(8+cos(t^2)) is -(tsin(t^2))/(sqrt(8+cos(t^2)))