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Popular >

derivative of 2tan^2(7x)

Solution

derivative of

2 tan^{2} (7 x)

Solution

28 sec^{2} (7 x) tan (7 x)

Solution steps

\frac{d}{d x} (2 tan^{2} (7 x))

Take the constant out:

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

= 2 \frac{d}{d x} (tan^{2} (7 x))

Apply the chain rule:

2 tan (7 x) \frac{d}{d x} (tan (7 x))

= 2 tan (7 x) \frac{d}{d x} (tan (7 x))

\frac{d}{d x} (tan (7 x)) = sec^{2} (7 x) \cdot 7

= 2 \cdot 2 tan (7 x) sec^{2} (7 x) \cdot 7

Simplify

= 28 sec^{2} (7 x) tan (7 x)

Popular Examples

(2xy+3)dx+(x^2-1)dy=0

(2 x y + 3) d x + (x^{2} - 1) d y = 0

3 x y^{^{'}} + 7 y = 0

derivative of (e^{10x}+e^{-10x})/x derivative of

\frac{e ^{10 x} + e ^{- 10 x}}{x}

derivative of 2(ln(x))

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

integral from 0 to 1.5 of (3/2-x)^2

\int_{0}^{1.5} (\frac{3}{2} - x)^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2tan^2(7x) ?
The derivative of 2tan^2(7x) is 28sec^2(7x)tan(7x)
What is the first derivative of 2tan^2(7x) ?
The first derivative of 2tan^2(7x) is 28sec^2(7x)tan(7x)