Solve 7y^2*4y^3=

$$7 y ^ { 2 } \cdot 4 y ^ { 3 } =$$

Evaluate

$$28y^{5}$$

Solution Steps

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

$$7y^{5}\times 4$$

Multiply 7 and 4 to get 28.

$$28y^{5}$$

Differentiate w.r.t. y

$$140y^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y^{5}\times 4)$$

Multiply 7 and 4 to get 28.

$$\frac{\mathrm{d}}{\mathrm{d}y}(28y^{5})$$

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

$$5\times 28y^{5-1}$$

Multiply 5 times 28.

$$140y^{5-1}$$

Subtract 1 from 5.

$$140y^{4}$$