erweitern (derivative of (8x-7^3))/((8x+4)^4)

Lösung

erweitern

\frac{\frac{d}{d x} ( ( 8 x - 7 ) ^{3} )}{( 8 x + 4 ) ^{4}}

\frac{\frac{d}{d x} ( ( 8 x - 7 ) ^{3} )}{4096 x ^{4} + 8192 x ^{3} + 6144 x ^{2} + 2048 x + 256}

Schritte zur Lösung

\frac{\frac{d}{d x} ( ( 8 x - 7 ) ^{3} )}{( 8 x + 4 ) ^{4}}

(8 x + 4)^{4} = 4096 x^{4} + 8192 x^{3} + 6144 x^{2} + 2048 x + 256

= \frac{\frac{d}{d x} ( ( 8 x - 7 ) ^{3} )}{4096 x ^{4} + 8192 x ^{3} + 6144 x ^{2} + 2048 x + 256}

e x p an d (x + 6) \cdot (6 + 2 x - 6 e^{- x})

e x p an d (2 e^{3 x} - e^{2 x}) (6 e^{3 x} - 2 e^{2 x})

e x p an d \frac{( 2 + 3 s + s ^{2} )}{( s ^{2} ( s + 3 ) )}

e x p an d cos (x^{2} + 2) \cdot 2 x (x^{2} + 2)

e x p an d (5 cos (θ) - 3 sin (x))^{2}