What is the derivative of tan(3^x) ?

The derivative of tan(3^x) is sec^2(3^x)*3^xln(3)

What is the first derivative of tan(3^x) ?

The first derivative of tan(3^x) is sec^2(3^x)*3^xln(3)

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\frac{d}{d x} (tan (3^{x}))

sec^{2} (3^{x}) \cdot 3^{x} ln (3)

Solution steps

\frac{d}{d x} (tan (3^{x}))

Apply the chain rule:

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

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

\frac{d}{d x} (3^{x}) = 3^{x} ln (3)

= sec^{2} (3^{x}) \cdot 3^{x} ln (3)

\frac{\partial}{\partial x} (\frac{2}{x + y})

\frac{x}{x + 9}

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

\int_{0}^{1} \frac{x}{( x + 1 ) ( x ^{2} + 1 )} d x

\int_{0}^{1} arctan (2 x) d x

What is the derivative of tan(3^x) ?
The derivative of tan(3^x) is sec^2(3^x)*3^xln(3)
What is the first derivative of tan(3^x) ?
The first derivative of tan(3^x) is sec^2(3^x)*3^xln(3)