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Popular >

derivative of 2tan^2(2x)

Solution

derivative of

2 tan^{2} (2 x)

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 2 \cdot 2 tan (2 x) sec^{2} (2 x) \cdot 2

Simplify

= 8 sec^{2} (2 x) tan (2 x)

Popular Examples

d/(dt)(ln(t^2+1))

\frac{d}{d t} (ln (t^{2} + 1))

y^'=y(1-y),y(0)=6

y^{^{'}} = y (1 - y), y (0) = 6

y^'=sqrt(1-y^2)sin(x)

y^{^{'}} = 1 - y^{2} sin (x)

limit as x approaches 0+of (xe^{1/x})/2

x \to 0 + lim (\frac{x e ^{\frac{1}{x}}}{2})

integral of 9xsin^2(x)

\int 9 x sin^{2} (x) d x

Frequently Asked Questions (FAQ)

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