Question

Evaluate the\\(\\frac{d^{3}f3{dx^{3}}\\ of \\(f(x)=sin(x)\\)

Answer 1

Solution. Find the first derivative of the function f(x)

$$\frac{df} {dx}=(sin(x))'=cos(x)$$

Find the second derivative of the function f(x)

$$\frac{d^2f} {dx^2}=(cos(x))'=-sin(x)$$

Find the third derivative of the function f(x)

$$\frac{d^3f} {dx^3}=(-sin(x))'=-cos(x)$$

Answer. - cos(x).