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))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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)

\int \frac{1}{x ^{2} + 49} d x

\int (x^{2} + x)^{10} (2 x + 1) d x

y = 3 x, x + y = 4, y = 1 y = 0

\frac{d}{d x} (2 x^{\frac{3}{2}} + 4 x^{\frac{5}{4}})

\frac{d}{d x} (2 x 25 - x^{2})

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)