What is the derivative of tan(2x-x^3) ?

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

What is the first derivative of tan(2x-x^3) ?

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

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derivative of

tan (2 x - x^{3})

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (x^{3} y + 2 x y^{3})

\int (x + 2) e^{(x + 2)} d x

x \to 5 lim (\frac{x ^{2} + 1}{x + 1})

\int \frac{x}{36 x ^{2} + 9} d x

x \to 0 + lim ((1 + 3 x)^{\frac{1}{x}})

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