Solve exp(-1/2(x-0)^2)

$$\exp ( - \frac { 1 } { 2 } ( x - 0 ) ^ { 2 } )$$

Evaluate

$$-\frac{epx^{3}}{2}$$

Solution Steps

Multiply -1 and 0 to get 0.

$$exp\left(-\frac{1}{2}\right)\left(x+0\right)^{2}$$

Anything plus zero gives itself.

$$exp\left(-\frac{1}{2}\right)x^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$ex^{3}p\left(-\frac{1}{2}\right)$$

Differentiate w.r.t. x

$$-\frac{3epx^{2}}{2}$$