What is the derivative of 5tan^2(7x) ?

The derivative of 5tan^2(7x) is 70sec^2(7x)tan(7x)

What is the first derivative of 5tan^2(7x) ?

The first derivative of 5tan^2(7x) is 70sec^2(7x)tan(7x)

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derivative of

5 tan^{2} (7 x)

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

Solution steps

\frac{d}{d x} (5 tan^{2} (7 x))

Take the constant out:

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

= 5 \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

= 5 \cdot 2 tan (7 x) sec^{2} (7 x) \cdot 7

Simplify

= 70 sec^{2} (7 x) tan (7 x)

\int \frac{5 x + 3}{x ^{3} - 2 x ^{2} - 3 x} d x

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

6 x^{2}, at x = 10

22 cos (t)

\int x^{2} - 4 x + 2 d x

What is the derivative of 5tan^2(7x) ?
The derivative of 5tan^2(7x) is 70sec^2(7x)tan(7x)
What is the first derivative of 5tan^2(7x) ?
The first derivative of 5tan^2(7x) is 70sec^2(7x)tan(7x)