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

The derivative of sec^2(x+tan^2(x)) is 4sec^2(x)tan(x)

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

The first derivative of sec^2(x+tan^2(x)) is 4sec^2(x)tan(x)

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\frac{d}{d x} (sec^{2} (x) + tan^{2} (x))

4 sec^{2} (x) tan (x)

Solution steps

\frac{d}{d x} (sec^{2} (x) + tan^{2} (x))

Simplify

sec^{2} (x) + tan^{2} (x) : 1 + 2 tan^{2} (x)

= \frac{d}{d x} (1 + 2 tan^{2} (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (2 tan^{2} (x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (2 tan^{2} (x)) = 4 sec^{2} (x) tan (x)

= 0 + 4 sec^{2} (x) tan (x)

Simplify

= 4 sec^{2} (x) tan (x)

\int cos^{8} (x) d x

(6.4) (2.7)

(x^{- 2} + x^{- 3}) (x^{5} - 2 x^{2})

x \to - 1 lim (x^{2} + 6)

f (x) = 5 x + 9

What is the derivative of sec^2(x+tan^2(x)) ?
The derivative of sec^2(x+tan^2(x)) is 4sec^2(x)tan(x)
What is the first derivative of sec^2(x+tan^2(x)) ?
The first derivative of sec^2(x+tan^2(x)) is 4sec^2(x)tan(x)