Solve 3xy^3*4xy^2*112x

$$3 x y ^ { 3 } \cdot 4 x y ^ { 2 } \cdot 112 x$$

Evaluate

$$1344x^{3}y^{5}$$

Solution Steps

Multiply x and x to get x^{2}.

$$3x^{2}y^{3}\times 4y^{2}\times 112x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3x^{3}y^{3}\times 4y^{2}\times 112$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$3x^{3}y^{5}\times 4\times 112$$

Multiply 3 and 4 to get 12.

$$12x^{3}y^{5}\times 112$$

Multiply 12 and 112 to get 1344.

$$1344x^{3}y^{5}$$

Differentiate w.r.t. x

$$4032x^{2}y^{5}$$