Solve 16ab^2c/96divabc/6

$$\frac { 16 a b ^ { 2 } c } { 96 } \div \frac { a b c } { 6 }$$

Evaluate

$$b$$

Solution Steps

Divide \frac{16ab^{2}c}{96} by \frac{abc}{6} by multiplying \frac{16ab^{2}c}{96} by the reciprocal of \frac{abc}{6}.

$$\frac{16ab^{2}c\times 6}{96abc}$$

Cancel out 6\times 16abc in both numerator and denominator.

$$b$$

Differentiate w.r.t. b

$$1$$

Steps Using Definition of a Derivative

Divide \frac{16ab^{2}c}{96} by \frac{abc}{6} by multiplying \frac{16ab^{2}c}{96} by the reciprocal of \frac{abc}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{16ab^{2}c\times 6}{96abc})$$

Cancel out 6\times 16abc in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b)$$

The derivative of ax^{n} is nax^{n-1}.

$$b^{1-1}$$

Subtract 1 from 1.

$$b^{0}$$

For any term t except 0, t^{0}=1.

$$1$$