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

The derivative of-tan(x^2) is -sec^2(x^2)*2x

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

The first derivative of-tan(x^2) is -sec^2(x^2)*2x

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\frac{d}{d x} (- tan (x^{2}))

- sec^{2} (x^{2}) \cdot 2 x

Solution steps

\frac{d}{d x} (- tan (x^{2}))

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - sec^{2} (x^{2}) \cdot 2 x

\int_{- 2}^{0} x^{2} d x

\int_{0}^{5} x^{2} 25 - x^{2} d x

\frac{\partial}{\partial x} (ln (\frac{y}{x}))

\int \frac{1}{ln ( x ^{2} )} d x

n = 1 \sum \infty \frac{3 ^{n}}{5 ^{n}}

What is the derivative of-tan(x^2) ?
The derivative of-tan(x^2) is -sec^2(x^2)*2x
What is the first derivative of-tan(x^2) ?
The first derivative of-tan(x^2) is -sec^2(x^2)*2x