What is expand derivative of (-x^2+5x-6*4^x)+3 ?

The solution to expand derivative of (-x^2+5x-6*4^x)+3 is derivative of-4^xx^2+5*4^xx-3*2^{1+2x}+3

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expand derivative of (-x^2+5x-6*4^x)+3

expand

\frac{d}{d x} ((- x^{2} + 5 x - 6) \cdot 4^{x}) + 3

\frac{d}{d x} (- 4^{x} x^{2} + 5 \cdot 4^{x} x - 3 \cdot 2^{1 + 2 x}) + 3

Solution steps

\frac{d}{d x} ((- x^{2} + 5 x - 6) \cdot 4^{x}) + 3

\frac{d}{d x} ((- x^{2} + 5 x - 6) \cdot 4^{x}) = \frac{d}{d x} (- 4^{x} x^{2} + 5 \cdot 4^{x} x - 3 \cdot 2^{1 + 2 x})

= \frac{d}{d x} (- 4^{x} x^{2} + 5 \cdot 4^{x} x - 3 \cdot 2^{2 x + 1}) + 3

\frac{4}{x ^{2} ( x + 2 )}

\frac{16 ( 2 x ^{3} - 1 )}{8 x ^{3} + 1}

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

(x + a) e^{x}

ln^{x} (x) (ln (ln (x)) + \frac{1}{ln ( x )})

What is expand derivative of (-x^2+5x-6*4^x)+3 ?
The solution to expand derivative of (-x^2+5x-6*4^x)+3 is derivative of-4^xx^2+5*4^xx-3*2^{1+2x}+3