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Popular >

derivative of (tan(-1(7x))2)

Solution

\frac{d}{d x} ((tan (- 1 (7 x))) 2)

Solution

- 14 sec^{2} (7 x)

Solution steps

\frac{d}{d x} ((tan (- 1 \cdot (7 x))) \cdot 2)

Simplify

(tan (- 1 \cdot (7 x))) \cdot 2 : - 2 tan (7 x)

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= - 14 sec^{2} (7 x)

Popular Examples

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(dy)/(dx)=(x*y^2)/((x^2+1))

\frac{d y}{d x} = \frac{x \cdot y ^{2}}{( x ^{2} + 1 )}

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\frac{d}{d x} (3 A e^{3 x})

Frequently Asked Questions (FAQ)

What is the derivative of (tan(-1(7x))2) ?
The derivative of (tan(-1(7x))2) is -14sec^2(7x)
What is the first derivative of (tan(-1(7x))2) ?
The first derivative of (tan(-1(7x))2) is -14sec^2(7x)