What is the derivative of tan(5x^2) ?

The derivative of tan(5x^2) is sec^2(5x^2)*10x

What is the first derivative of tan(5x^2) ?

The first derivative of tan(5x^2) is sec^2(5x^2)*10x

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\frac{d}{d x} (tan (5 x^{2}))

sec^{2} (5 x^{2}) \cdot 10 x

Solution steps

\frac{d}{d x} (tan (5 x^{2}))

Apply the chain rule:

sec^{2} (5 x^{2}) \frac{d}{d x} (5 x^{2})

= sec^{2} (5 x^{2}) \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

= sec^{2} (5 x^{2}) \cdot 10 x

\frac{\partial}{\partial x} (4 ln (x))

\frac{x ^{2}}{x ^{2} - 4}

a x \cdot e^{b x}

\int (3 x^{2} - 8 x + 2) d x

\frac{3}{cos ^{2} ( 3 x + 5 )}

What is the derivative of tan(5x^2) ?
The derivative of tan(5x^2) is sec^2(5x^2)*10x
What is the first derivative of tan(5x^2) ?
The first derivative of tan(5x^2) is sec^2(5x^2)*10x