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Popular >

derivative of-2sec^2(x)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

- 2 \cdot 2 sec (x) sec (x) tan (x) : - 4 sec^{2} (x) tan (x)

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

Popular Examples

x^2dy=(y^2-xy+x^2)dx

x^{2} d y = (y^{2} - x y + x^{2}) d x

derivative of x+6/x derivative of

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\frac{d}{d x} (\frac{e ^{4 x}}{x ^{20}})

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\frac{d}{d x} (25 x sin (11 x))

integral of 3x^2e^{x^3}

\int 3 x^{2} e^{x^{3}} d x

Frequently Asked Questions (FAQ)

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