What is the derivative of sec^2(5x) ?

The derivative of sec^2(5x) is 10sec^2(5x)tan(5x)

What is the first derivative of sec^2(5x) ?

The first derivative of sec^2(5x) is 10sec^2(5x)tan(5x)

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derivative of

sec^{2} (5 x)

10 sec^{2} (5 x) tan (5 x)

Solution steps

\frac{d}{d x} (sec^{2} (5 x))

Apply the chain rule:

2 sec (5 x) \frac{d}{d x} (sec (5 x))

= 2 sec (5 x) \frac{d}{d x} (sec (5 x))

\frac{d}{d x} (sec (5 x)) = sec (5 x) tan (5 x) \cdot 5

= 2 sec (5 x) sec (5 x) tan (5 x) \cdot 5

Simplify

2 sec (5 x) sec (5 x) tan (5 x) \cdot 5 : 10 sec^{2} (5 x) tan (5 x)

= 10 sec^{2} (5 x) tan (5 x)

d er i v a t i v e 5

d er i v a t i v e ln (\frac{x ^{2}}{3 x + 1})

\int_{1}^{1} x^{2} d x

\int - e^{- x} cos (3 x) d x

x \to \infty lim (x^{6 x})

What is the derivative of sec^2(5x) ?
The derivative of sec^2(5x) is 10sec^2(5x)tan(5x)
What is the first derivative of sec^2(5x) ?
The first derivative of sec^2(5x) is 10sec^2(5x)tan(5x)