Solve 13*5.269x(-3/1236^219*1.893*41.6666666)*sqrt{326}

$$13 \times 5.269x(- \frac{ 3 }{ 12 } { 36 }^{ 219 \times 1.89 } 3 \times 41.6666666) \times \sqrt{ 326 }$$

Evaluate

$$-\frac{1420154774311644374817306997623645458533304911276120346442090467025850992438000098484897256581029801396183028201280679656747931963842928201593366874607061468748050873327537081086194382954099608092207758973694017957947499811833181934803304761603297826995198845610699087062462598135779384536586046043459436485677271062768135465604228938931455989324859416352144051692098389334120468712846825022127232851770256447136197917152114975193094179583688843108231575159637854974955061572661302875912053386671491015384266324062115610088149382460990926165909937394613373922148225823153808027368683918342635312950612897572269106731092077103247010942860882500822805512192\sqrt[100]{2324250689452297986931843117141452603088453652779900430976913555208914781832403999949813542005489519747792483721538417813942006233752859916508065319216727719936}x}{9765625}$$

Solution Steps

Multiply 5.269 and 13 to get 68.497.

$$68.497x\left(-\frac{3}{12}\right)\times 36^{219\times 1.89}\times 3\times 41.6666666\sqrt{326}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$68.497x\left(-\frac{1}{4}\right)\times 36^{219\times 1.89}\times 3\times 41.6666666\sqrt{326}$$

Multiply 68.497 and -\frac{1}{4} to get -\frac{68497}{4000}.

$$-\frac{68497}{4000}x\times 36^{219\times 1.89}\times 3\times 41.6666666\sqrt{326}$$

Multiply 219 and 1.89 to get 413.91.

$$-\frac{68497}{4000}x\times 36^{413.91}\times 3\times 41.6666666\sqrt{326}$$

Multiply -\frac{68497}{4000} and 3 to get -\frac{205491}{4000}.

$$-\frac{205491}{4000}x\times 36^{413.91}\times 41.6666666\sqrt{326}$$

Multiply -\frac{205491}{4000} and 41.6666666 to get -\frac{42810624931503}{20000000000}.

$$-\frac{42810624931503}{20000000000}x\times 36^{413.91}\sqrt{326}$$

Differentiate w.r.t. x

$$-\frac{1420154774311644374817306997623645458533304911276120346442090467025850992438000098484897256581029801396183028201280679656747931963842928201593366874607061468748050873327537081086194382954099608092207758973694017957947499811833181934803304761603297826995198845610699087062462598135779384536586046043459436485677271062768135465604228938931455989324859416352144051692098389334120468712846825022127232851770256447136197917152114975193094179583688843108231575159637854974955061572661302875912053386671491015384266324062115610088149382460990926165909937394613373922148225823153808027368683918342635312950612897572269106731092077103247010942860882500822805512192 \sqrt[100]{2324250689452297986931843117141452603088453652779900430976913555208914781832403999949813542005489519747792483721538417813942006233752859916508065319216727719936}}{9765625} = -∞\frac{NaN}{9765625} = -∞$$