What is the derivative of sec^2(7x) ?

The derivative of sec^2(7x) is 14sec^2(7x)tan(7x)

What is the first derivative of sec^2(7x) ?

The first derivative of sec^2(7x) is 14sec^2(7x)tan(7x)

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derivative of

sec^{2} (7 x)

14 sec^{2} (7 x) tan (7 x)

Solution steps

\frac{d}{d x} (sec^{2} (7 x))

Apply the chain rule:

2 sec (7 x) \frac{d}{d x} (sec (7 x))

= 2 sec (7 x) \frac{d}{d x} (sec (7 x))

\frac{d}{d x} (sec (7 x)) = sec (7 x) tan (7 x) \cdot 7

= 2 sec (7 x) sec (7 x) tan (7 x) \cdot 7

Simplify

2 sec (7 x) sec (7 x) tan (7 x) \cdot 7 : 14 sec^{2} (7 x) tan (7 x)

= 14 sec^{2} (7 x) tan (7 x)

(y + 1) y^{^{'}} + x (y^{2} + 2 y) = x

\int \frac{x ^{2} + 16}{x} d x

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

e^{x} + e^{y} \frac{d y}{d x} = 0

x \to 3 - lim (- x^{2} + 9)

What is the derivative of sec^2(7x) ?
The derivative of sec^2(7x) is 14sec^2(7x)tan(7x)
What is the first derivative of sec^2(7x) ?
The first derivative of sec^2(7x) is 14sec^2(7x)tan(7x)