What is the derivative of (x-3^3(2x-1)^2) ?

The derivative of (x-3^3(2x-1)^2) is 3(x-3)^2(2x-1)^2+4(2x-1)(x-3)^3

What is the first derivative of (x-3^3(2x-1)^2) ?

The first derivative of (x-3^3(2x-1)^2) is 3(x-3)^2(2x-1)^2+4(2x-1)(x-3)^3

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\frac{d}{d x} ((x - 3)^{3} (2 x - 1)^{2})

3 (x - 3)^{2} (2 x - 1)^{2} + 4 (2 x - 1) (x - 3)^{3}

Solution steps

\frac{d}{d x} ((x - 3)^{3} (2 x - 1)^{2})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (x - 3)^{3}, g = (2 x - 1)^{2}

= \frac{d}{d x} ((x - 3)^{3}) (2 x - 1)^{2} + \frac{d}{d x} ((2 x - 1)^{2}) (x - 3)^{3}

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

\frac{d}{d x} ((2 x - 1)^{2}) = 4 (2 x - 1)

= 3 (x - 3)^{2} (2 x - 1)^{2} + 4 (2 x - 1) (x - 3)^{3}

f^{^{'}} (x) = sin (4) (4 x^{5})

9 (x - 4)^{\frac{2}{3}}

\frac{d}{d x} (210)

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

What is the derivative of (x-3^3(2x-1)^2) ?
The derivative of (x-3^3(2x-1)^2) is 3(x-3)^2(2x-1)^2+4(2x-1)(x-3)^3
What is the first derivative of (x-3^3(2x-1)^2) ?
The first derivative of (x-3^3(2x-1)^2) is 3(x-3)^2(2x-1)^2+4(2x-1)(x-3)^3