What is the derivative of f(x)=(sin(x))/(cos(x)) ?

The derivative of f(x)=(sin(x))/(cos(x)) is sec^2(x)

What is the first derivative of f(x)=(sin(x))/(cos(x)) ?

The first derivative of f(x)=(sin(x))/(cos(x)) is sec^2(x)

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derivative of

f (x) = \frac{sin ( x )}{cos ( x )}

sec^{2} (x)

Solution steps

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

Simplify

\frac{sin ( x )}{cos ( x )} : tan (x)

= \frac{d}{d x} (tan (x))

Apply the common derivative:

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= sec^{2} (x)

\int x^{2} - 2 d x

\int x^{2} 1 - x^{2} d x

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

\frac{d}{d x} (a e^{- 5 x} + b e^{- 3 x} + c x e^{- x})

\int_{0}^{2} 4.0553 e^{1.8 t} d t

What is the derivative of f(x)=(sin(x))/(cos(x)) ?
The derivative of f(x)=(sin(x))/(cos(x)) is sec^2(x)
What is the first derivative of f(x)=(sin(x))/(cos(x)) ?
The first derivative of f(x)=(sin(x))/(cos(x)) is sec^2(x)