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Popular >

d/(dt)((sec^2(t))/(cos(t)(sec(t))))

Solution

\frac{d}{d t} (\frac{sec ^{2} ( t )}{cos ( t ) ( sec ( t ) )})

Solution

2 sec^{2} (t) tan (t)

Solution steps

\frac{d}{d t} (\frac{sec ^{2} ( t )}{cos ( t ) ( sec ( t ) )})

Simplify

\frac{sec ^{2} ( t )}{cos ( t ) ( sec ( t ) )} : sec^{2} (t)

= \frac{d}{d t} (sec^{2} (t))

Apply the chain rule:

2 sec (t) \frac{d}{d t} (sec (t))

= 2 sec (t) \frac{d}{d t} (sec (t))

\frac{d}{d t} (sec (t)) = sec (t) tan (t)

= 2 sec (t) sec (t) tan (t)

Simplify

2 sec (t) sec (t) tan (t) : 2 sec^{2} (t) tan (t)

= 2 sec^{2} (t) tan (t)

Graph

Popular Examples

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\int_{0}^{1} \frac{59}{4 y - 1} d y

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

slope of (6,-4),(3,1)slope

(6, - 4), (3, 1)

(\partial)/(\partial y)(y^2+xy+3y+2x+3)

\frac{\partial}{\partial y} (y^{2} + x y + 3 y + 2 x + 3)

tangent of f(x)=6tan(x)tangent of

f (x) = 6 tan (x)

Frequently Asked Questions (FAQ)

What is the d/(dt)((sec^2(t))/(cos(t)(sec(t)))) ?
The d/(dt)((sec^2(t))/(cos(t)(sec(t)))) is 2sec^2(t)tan(t)
What is the first d/(dt)((sec^2(t))/(cos(t)(sec(t)))) ?
The first d/(dt)((sec^2(t))/(cos(t)(sec(t)))) is 2sec^2(t)tan(t)