Solve 25x^2-16?0

$$25 x ^ { 2 } - 16 ? 0$$

Differentiate w.r.t. x

$$50x$$

Steps Using Definition of a Derivative

Multiply 16 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x^{2}-0)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x^{2}+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x^{2})$$

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

$$2\times 25x^{2-1}$$

Multiply 2 times 25.

$$50x^{2-1}$$

Subtract 1 from 2.

$$50x^{1}$$

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

$$50x$$

Evaluate

$$25x^{2}$$

Solution Steps

Multiply 16 and 0 to get 0.

$$25x^{2}-0$$