What is (\partial)/(\partial x)(tan(x^2)) ?

The answer to (\partial)/(\partial x)(tan(x^2)) is sec^2(x^2)*2x

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(\partial)/(\partial x)(tan(x^2))

\frac{\partial}{\partial x} (tan (x^{2}))

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

Solution steps

\frac{\partial}{\partial x} (tan (x^{2}))

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (x + t)

\frac{d y}{d x} + 3 y = 40, y (1) = 70

x \to (7) + lim (\frac{1}{( x - 7 ) ^{2}})

f (x) = 5 x^{2} + 7 x, at - 13

\frac{\partial}{\partial x} ((x - 1)^{2} e^{x})

What is (\partial)/(\partial x)(tan(x^2)) ?
The answer to (\partial)/(\partial x)(tan(x^2)) is sec^2(x^2)*2x