Solve 21x^2*3x^2

$$21 x ^ { 2 } \times 3 x ^ { 2 }$$

Evaluate

$$63x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$21x^{4}\times 3$$

Multiply 21 and 3 to get 63.

$$63x^{4}$$

Differentiate w.r.t. x

$$252x^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(21x^{4}\times 3)$$

Multiply 21 and 3 to get 63.

$$\frac{\mathrm{d}}{\mathrm{d}x}(63x^{4})$$

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

$$4\times 63x^{4-1}$$

Multiply 4 times 63.

$$252x^{4-1}$$

Subtract 1 from 4.

$$252x^{3}$$