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

The derivative of 7sec^2(7x) is 98sec^2(7x)tan(7x)

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

The first derivative of 7sec^2(7x) is 98sec^2(7x)tan(7x)

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

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

Solution steps

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

Take the constant out:

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

= 7 \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

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

Simplify

7 \cdot 2 sec (7 x) sec (7 x) tan (7 x) \cdot 7 : 98 sec^{2} (7 x) tan (7 x)

= 98 sec^{2} (7 x) tan (7 x)

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

\int_{0}^{9} x e^{- x^{2}} d x

\frac{1}{x ^{2}}, 1

\frac{\partial}{\partial x} (\frac{x ^{2}}{y} - x z)

\frac{\partial}{\partial y} (2 ln (3 x) - 4 ln (2 x y))

What is the derivative of 7sec^2(7x) ?
The derivative of 7sec^2(7x) is 98sec^2(7x)tan(7x)
What is the first derivative of 7sec^2(7x) ?
The first derivative of 7sec^2(7x) is 98sec^2(7x)tan(7x)