Løs 602214076*10^23c

$$602214076 \times 10 ^ { 23 } c$$

Evaluer

$$60221407600000000000000000000000c$$

Løsningsvejledning

Beregn 10 til potensen af 23, og få 100000000000000000000000.

$$602214076\times 100000000000000000000000c$$

Multiplicer 602214076 og 100000000000000000000000 for at få 60221407600000000000000000000000.

$$60221407600000000000000000000000c$$

Differentier w.r.t. c

$$60221407600000000000000000000000$$

Vejledning i brug af definition af en afledning

Beregn 10 til potensen af 23, og få 100000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}c}(602214076\times 100000000000000000000000c)$$

Multiplicer 602214076 og 100000000000000000000000 for at få 60221407600000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}c}(60221407600000000000000000000000c)$$

Afledningen af ax^{n} er nax^{n-1}.

$$60221407600000000000000000000000c^{1-1}$$

Subtraher 1 fra 1.

$$60221407600000000000000000000000c^{0}$$

For ethvert led t bortset fra 0, t^{0}=1.

$$60221407600000000000000000000000\times 1$$

For ethvert led t, t\times 1=t og 1t=t.

$$60221407600000000000000000000000$$