What is the derivative of sec^3(x) ?

The derivative of sec^3(x) is 3sec^3(x)tan(x)

What is the first derivative of sec^3(x) ?

The first derivative of sec^3(x) is 3sec^3(x)tan(x)

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derivative of

sec^{3} (x)

3 sec^{3} (x) tan (x)

Solution steps

\frac{d}{d x} (sec^{3} (x))

Apply the chain rule:

3 (sec (x))^{2} \frac{d}{d x} (sec (x))

= 3 (sec (x))^{2} \frac{d}{d x} (sec (x))

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

= 3 (sec (x))^{2} sec (x) tan (x)

Simplify

3 sec^{2} (x) sec (x) tan (x) : 3 sec^{3} (x) tan (x)

= 3 sec^{3} (x) tan (x)

\frac{\partial}{\partial x} (2 x y^{5} + 3 x^{2} y + x^{2})

y^{^{''}} + 9 y = 6 tan (3 x)

\int e^{i 6 x} cos (5 x) d x

\int x^{2} (8 x - 3) d x

\int \frac{x ^{3} + 2}{x ^{3}} x - \frac{1}{x ^{2}} d x

What is the derivative of sec^3(x) ?
The derivative of sec^3(x) is 3sec^3(x)tan(x)
What is the first derivative of sec^3(x) ?
The first derivative of sec^3(x) is 3sec^3(x)tan(x)