Solve 3989x*33867*62/828^2*3438

$$\frac { 3989 x \cdot 33867 \cdot 62 } { 828 ^ { 2 } \cdot 3438 }$$

Evaluate

$$\frac{465328817x}{130946544}$$

Solution Steps

Cancel out 2\times 9 in both numerator and denominator.

$$\frac{31\times 3763\times 3989x}{191\times 828^{2}}$$

Multiply 31 and 3763 to get 116653.

$$\frac{116653\times 3989x}{191\times 828^{2}}$$

Multiply 116653 and 3989 to get 465328817.

$$\frac{465328817x}{191\times 828^{2}}$$

Calculate 828 to the power of 2 and get 685584.

$$\frac{465328817x}{191\times 685584}$$

Multiply 191 and 685584 to get 130946544.

$$\frac{465328817x}{130946544}$$

Differentiate w.r.t. x

$$\frac{465328817}{130946544} = 3\frac{72489185}{130946544} = 3.553578451066261$$