Solve 25x^2-x^2/4

$$25 { x }^{ 2 } - \frac{ { x }^{ 2 } }{ 4 }$$

Differentiate w.r.t. x

$$\frac{99x}{2}$$

Steps Using Definition of a Derivative

Combine 25x^{2} and -\frac{x^{2}}{4} to get \frac{99}{4}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{99}{4}x^{2})$$

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

$$2\times \frac{99}{4}x^{2-1}$$

Multiply 2 times \frac{99}{4}.

$$\frac{99}{2}x^{2-1}$$

Subtract 1 from 2.

$$\frac{99}{2}x^{1}$$

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

$$\frac{99}{2}x$$

Evaluate

$$\frac{99x^{2}}{4}$$

Solution Steps

Combine 25x^{2} and -\frac{x^{2}}{4} to get \frac{99}{4}x^{2}.

$$\frac{99}{4}x^{2}$$