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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d y}{d x} = \frac{1}{x sin ( y ) + 2 sin ( 2 y )}

\frac{\partial}{\partial x} (\frac{60}{1 + x ^{2} + y ^{2}})

\frac{d y}{d x} = 5 + y - 5 x + 2

x^{2} y^{^{'}} + \frac{4}{3} x y = 2 cos (3 x) y^{- \frac{1}{2}}

\frac{\partial}{\partial x} (3 x^{2} \cdot c)

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