Solve 3489x*33867*b^2/828^3*3438

$$\frac { 3489 x \cdot 33867 \times b ^ { 2 } } { 828 ^ { 3 } \cdot 3438 }$$

Evaluate

$$\frac{4376369xb^{2}}{72282492288}$$

Solution Steps

Cancel out 3\times 3 in both numerator and denominator.

$$\frac{1163\times 11289xb^{2}}{382\times 828^{3}}$$

Multiply 1163 and 11289 to get 13129107.

$$\frac{13129107xb^{2}}{382\times 828^{3}}$$

Calculate 828 to the power of 3 and get 567663552.

$$\frac{13129107xb^{2}}{382\times 567663552}$$

Multiply 382 and 567663552 to get 216847476864.

$$\frac{13129107xb^{2}}{216847476864}$$

Divide 13129107xb^{2} by 216847476864 to get \frac{4376369}{72282492288}xb^{2}.

$$\frac{4376369}{72282492288}xb^{2}$$

Differentiate w.r.t. x

$$\frac{4376369b^{2}}{72282492288}$$