What is the derivative of 10tan^2(6x) ?

The derivative of 10tan^2(6x) is 120sec^2(6x)tan(6x)

What is the first derivative of 10tan^2(6x) ?

The first derivative of 10tan^2(6x) is 120sec^2(6x)tan(6x)

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derivative of

10 tan^{2} (6 x)

120 sec^{2} (6 x) tan (6 x)

Solution steps

\frac{d}{d x} (10 tan^{2} (6 x))

Take the constant out:

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

= 10 \frac{d}{d x} (tan^{2} (6 x))

Apply the chain rule:

2 tan (6 x) \frac{d}{d x} (tan (6 x))

= 2 tan (6 x) \frac{d}{d x} (tan (6 x))

\frac{d}{d x} (tan (6 x)) = sec^{2} (6 x) \cdot 6

= 10 \cdot 2 tan (6 x) sec^{2} (6 x) \cdot 6

Simplify

= 120 sec^{2} (6 x) tan (6 x)

\frac{d}{d x} (2 sin (2 x) - 4 sin^{9} (2 x))

\frac{d}{d x} (x^{\frac{2}{3}} (5 - x))

19 - x^{2}, - 2 x + 16, - 5, - 19

\frac{\partial}{\partial x} (y \cdot ∣ x ∣)

(x^{2} + 1) y^{^{'}} + 9 x (y - 1) = 0, y (0) = 2

What is the derivative of 10tan^2(6x) ?
The derivative of 10tan^2(6x) is 120sec^2(6x)tan(6x)
What is the first derivative of 10tan^2(6x) ?
The first derivative of 10tan^2(6x) is 120sec^2(6x)tan(6x)