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Popular >

derivative of y=3tan^2(7x)

Solution

derivative of

y = 3 tan^{2} (7 x)

Solution

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

Solution steps

\frac{d}{d x} (3 tan^{2} (7 x))

Take the constant out:

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

= 3 \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

= 3 \cdot 2 tan (7 x) sec^{2} (7 x) \cdot 7

Simplify

= 42 sec^{2} (7 x) tan (7 x)

Popular Examples

derivative of ln|4+t-t^3|derivative of

ln 4 + t - t^{3}

(\partial)/(\partial x)(x^3-3x+y^3-3y)

\frac{\partial}{\partial x} (x^{3} - 3 x + y^{3} - 3 y)

integral of (3x+7)/(x^2+5x+6)

\int \frac{3 x + 7}{x ^{2} + 5 x + 6} d x

integral of (3x-8)^{21}

\int (3 x - 8)^{21} d x

sum from n=4 to infinity of (3^n)/(10^n)

n = 4 \sum \infty \frac{3 ^{n}}{1 0 ^{n}}

Frequently Asked Questions (FAQ)

What is the derivative of y=3tan^2(7x) ?
The derivative of y=3tan^2(7x) is 42sec^2(7x)tan(7x)
What is the first derivative of y=3tan^2(7x) ?
The first derivative of y=3tan^2(7x) is 42sec^2(7x)tan(7x)