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Popular >

derivative of 4tan(x^2+x+3)

Solution

\frac{d}{d x} (4 tan (x^{2} + x + 3))

Solution

4 sec^{2} (x^{2} + x + 3) (2 x + 1)

Solution steps

\frac{d}{d x} (4 tan (x^{2} + x + 3))

Take the constant out:

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

= 4 \frac{d}{d x} (tan (x^{2} + x + 3))

Apply the chain rule:

sec^{2} (x^{2} + x + 3) \frac{d}{d x} (x^{2} + x + 3)

= sec^{2} (x^{2} + x + 3) \frac{d}{d x} (x^{2} + x + 3)

\frac{d}{d x} (x^{2} + x + 3) = 2 x + 1

= 4 sec^{2} (x^{2} + x + 3) (2 x + 1)

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Frequently Asked Questions (FAQ)

What is the derivative of 4tan(x^2+x+3) ?
The derivative of 4tan(x^2+x+3) is 4sec^2(x^2+x+3)(2x+1)
What is the first derivative of 4tan(x^2+x+3) ?
The first derivative of 4tan(x^2+x+3) is 4sec^2(x^2+x+3)(2x+1)