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

The derivative of sec^2(x)tan(x) is -2sec^2(x)+3sec^4(x)

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

The first derivative of sec^2(x)tan(x) is -2sec^2(x)+3sec^4(x)

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derivative of

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

- 2 sec^{2} (x) + 3 sec^{4} (x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sec^{2} (x), g = tan (x)

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

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

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

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

Simplify

2 sec^{2} (x) tan (x) tan (x) + sec^{2} (x) sec^{2} (x) : - 2 sec^{2} (x) + 3 sec^{4} (x)

= - 2 sec^{2} (x) + 3 sec^{4} (x)

(x^{3} - 1)^{3}

\frac{sin ( x )}{x ^{2}}

e^{2} + (sec (x) x)

\frac{d}{dd} (10 d)

\frac{d}{d t} (3 sin (314 t) + 4 cos (314 t))

What is the derivative of sec^2(x)tan(x) ?
The derivative of sec^2(x)tan(x) is -2sec^2(x)+3sec^4(x)
What is the first derivative of sec^2(x)tan(x) ?
The first derivative of sec^2(x)tan(x) is -2sec^2(x)+3sec^4(x)