erweitern derivative of (x(x^2-7x+1))-(2x-7)(x+9)

Lösung

erweitern

\frac{d}{d x} ((x) (x^{2} - 7 x + 1)) - (2 x - 7) (x + 9)

\frac{d}{d x} (x^{3} - 7 x^{2} + x) - 2 x^{2} - 11 x + 63

Schritte zur Lösung

\frac{d}{d x} ((x) (x^{2} - 7 x + 1)) - (2 x - 7) (x + 9)

Multipliziere aus

- (2 x - 7) (x + 9) : - 2 x^{2} - 11 x + 63

= \frac{d}{d x} ((x) (x^{2} - 7 x + 1)) - 2 x^{2} - 11 x + 63

Vereinfache

\frac{d}{d x} ((x) (x^{2} - 7 x + 1)) - 2 x^{2} - 11 x + 63 : \frac{d}{d x} (x^{3} - 7 x^{2} + x) - 2 x^{2} - 11 x + 63

= \frac{d}{d x} (x^{3} - 7 x^{2} + x) - 2 x^{2} - 11 x + 63

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

e x p an d (- e^{- x} sin (x) + e^{- x} cos (x))^{2}

e x p an d \frac{12}{x ( x - 4 )}

e x p an d (2, - 3) y (4, 2)

e x p an d (2 x^{3} - x y^{2} - 2 y + 3) d x + (x^{2} y + 2 x)