Solve 2x(-5^2)

$$2 x ( - 5 ^ { 2 } )$$

Evaluate

$$-50x$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$2x\left(-25\right)$$

Multiply 2 and -25 to get -50.

$$-50x$$

Differentiate w.r.t. x

$$-50$$

Steps Using Definition of a Derivative

Calculate 5 to the power of 2 and get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x\left(-25\right))$$

Multiply 2 and -25 to get -50.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-50x)$$

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

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

Subtract 1 from 1.

$$-50x^{0}$$

For any term t except 0, t^{0}=1.

$$-50$$