What is the derivative of 2xtan(x+x^2sec^2(x)) ?

The derivative of 2xtan(x+x^2sec^2(x)) is 2tan(x)+4xsec^2(x)+2x^2sec^2(x)tan(x)

What is the first derivative of 2xtan(x+x^2sec^2(x)) ?

The first derivative of 2xtan(x+x^2sec^2(x)) is 2tan(x)+4xsec^2(x)+2x^2sec^2(x)tan(x)

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

2 tan (x) + 4 x sec^{2} (x) + 2 x^{2} sec^{2} (x) tan (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 2 (tan (x) + x sec^{2} (x)) + 2 x sec^{2} (x) + 2 sec^{2} (x) tan (x) x^{2}

Simplify

2 (tan (x) + x sec^{2} (x)) + 2 x sec^{2} (x) + 2 sec^{2} (x) tan (x) x^{2} : 2 tan (x) + 4 x sec^{2} (x) + 2 x^{2} sec^{2} (x) tan (x)

= 2 tan (x) + 4 x sec^{2} (x) + 2 x^{2} sec^{2} (x) tan (x)

\frac{d}{d x} (cos (π x^{2}))

n = 1 \sum \infty \frac{1}{4 n ^{2} - 1}

- 2 x^{2} (x + 4)

\int_{- 2}^{2} (x^{3} - 3 x^{2} + 2) d x

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

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