erweitern derivative of (2x^3-1log_{10}(3x+5))+4

Lösung

erweitern

\frac{d}{d x} ((2 x^{3} - 1) lo g_{10} (3 x + 5)) + 4

\frac{d}{d x} (2 x^{3} lo g_{10} (3 x + 5) - lo g_{10} (3 x + 5)) + 4

Schritte zur Lösung

\frac{d}{d x} ((2 x^{3} - 1) lo g_{10} (3 x + 5)) + 4

Multipliziere aus

(2 x^{3} - 1) lo g_{10} (3 x + 5) : 2 x^{3} lo g_{10} (3 x + 5) - lo g_{10} (3 x + 5)

= \frac{d}{d x} (2 x^{3} lo g_{10} (3 x + 5) - lo g_{10} (3 x + 5)) + 4

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

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

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

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

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