# For the following function {eq}f(x) = 2 e ^{- x ^4} {/eq}. a) Find {eq}f''(x) {/eq}. b) Find {eq}f''(0) {/eq}. c) Find {eq}f'' (1) {/eq}.

## Question:

For the following function {eq}f(x) = 2 e ^{- x ^4} {/eq}.

a) Find {eq}f''(x) {/eq}.

b) Find {eq}f''(0) {/eq}.

c) Find {eq}f'' (1) {/eq}.

## Finding the Second-Order Derivative:

The expression of the second derivative is {eq}\displaystyle \frac{d{f}'}{dx}={f}''(x) {/eq}. If we differentiate the first-order derivative of the function, we will get the second-order derivative. And it is known as the higher-order derivative. We can evaluate the derivative function at the value of the variable.