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Popular >

derivative of 8sec^2(x)

Solution

\frac{d}{d x} (8 sec^{2} (x))

Solution

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

Solution steps

\frac{d}{d x} (8 sec^{2} (x))

Take the constant out:

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

= 8 \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)

= 8 \cdot 2 sec (x) sec (x) tan (x)

Simplify

8 \cdot 2 sec (x) sec (x) tan (x) : 16 sec^{2} (x) tan (x)

= 16 sec^{2} (x) tan (x)

Popular Examples

integral from 1 to sqrt(2 of)xe^{x^2}

\int_{1}^{2} x e^{x^{2}} d x

integral of-2tan(2y)

\int - 2 tan (2 y) d y

(\partial)/(\partial x)(9-x^2+xy-3y^2)

\frac{\partial}{\partial x} (9 - x^{2} + x y - 3 y^{2})

area 12-x^2,x^2-6,[-3,3]area

12 - x^{2}, x^{2} - 6, [- 3, 3]

tangent of y= 1/x ,(2, 1/2)tangent of

y = \frac{1}{x}, (2, \frac{1}{2})

Frequently Asked Questions (FAQ)

What is the derivative of 8sec^2(x) ?
The derivative of 8sec^2(x) is 16sec^2(x)tan(x)
What is the first derivative of 8sec^2(x) ?
The first derivative of 8sec^2(x) is 16sec^2(x)tan(x)