Solve 69x^2*98x^2

$$69 { x }^{ 2 } \times 98 { x }^{ 2 }$$

Evaluate

$$6762x^{4}$$

Solution Steps

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

$$69x^{4}\times 98$$

Multiply 69 and 98 to get 6762.

$$6762x^{4}$$

Differentiate w.r.t. x

$$27048x^{3}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(69x^{4}\times 98)$$

Multiply 69 and 98 to get 6762.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6762x^{4})$$

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

$$4\times 6762x^{4-1}$$

Multiply 4 times 6762.

$$27048x^{4-1}$$

Subtract 1 from 4.

$$27048x^{3}$$