What is the derivative of 4tan^2(7x) ?

The derivative of 4tan^2(7x) is 56sec^2(7x)tan(7x)

What is the first derivative of 4tan^2(7x) ?

The first derivative of 4tan^2(7x) is 56sec^2(7x)tan(7x)

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derivative of

4 tan^{2} (7 x)

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

Solution steps

\frac{d}{d x} (4 tan^{2} (7 x))

Take the constant out:

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

= 4 \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

= 4 \cdot 2 tan (7 x) sec^{2} (7 x) \cdot 7

Simplify

= 56 sec^{2} (7 x) tan (7 x)

\frac{d y}{d x} = - \frac{1}{2} y

f (x) = \frac{( x ^{2} - 1 )}{x ^{2} + 1}

\int 5 x^{2} + (\frac{2}{x})^{4} d x

\frac{d ^{2} y}{d x ^{2}} + y = 0

y^{^{'}} - \frac{1}{x} y = x^{2} e^{x}

What is the derivative of 4tan^2(7x) ?
The derivative of 4tan^2(7x) is 56sec^2(7x)tan(7x)
What is the first derivative of 4tan^2(7x) ?
The first derivative of 4tan^2(7x) is 56sec^2(7x)tan(7x)