Solve 72div590%x406x535^2

$$72 \div 590 \% x406x { 535 }^{ 2 }$$

Evaluate

$$\frac{206082000xx_{406}}{59}$$

Solution Steps

Divide 72 by \frac{590}{100} by multiplying 72 by the reciprocal of \frac{590}{100}.

$$\frac{72\times 100}{590}x_{406}x\times 535^{2}$$

Multiply 72 and 100 to get 7200.

$$\frac{7200}{590}x_{406}x\times 535^{2}$$

Reduce the fraction \frac{7200}{590} to lowest terms by extracting and canceling out 10.

$$\frac{720}{59}x_{406}x\times 535^{2}$$

Calculate 535 to the power of 2 and get 286225.

$$\frac{720}{59}x_{406}x\times 286225$$

Express \frac{720}{59}\times 286225 as a single fraction.

$$\frac{720\times 286225}{59}x_{406}x$$

Multiply 720 and 286225 to get 206082000.

$$\frac{206082000}{59}x_{406}x$$

Differentiate w.r.t. x

$$\frac{206082000x_{406}}{59}$$