What is the derivative of tan(x+1/(x^2)) ?

The derivative of tan(x+1/(x^2)) is sec^2(x)-2/(x^3)

What is the first derivative of tan(x+1/(x^2)) ?

The first derivative of tan(x+1/(x^2)) is sec^2(x)-2/(x^3)

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

sec^{2} (x) - \frac{2}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int 4 - x d x

x \to - \infty lim (x^{2} + 2)

\int_{1}^{2} 3 x^{2} d x

\int \frac{1}{x ^{2} + 4 x + 3} d x

\int_{2}^{4} - x^{2} + 6 x - 8 d x

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