Please solve Problem 3!

Problem 1. Plot both the function f(), its derivative f(), and the values of both at point x=1 on the same plot for each of the following functions (take 3x3 ): 1. f(x)=1f(x)=0 2. f(x)=xf(x)=1 3. f(x)=x2f(x)=2x 4. f(x)=xnf(x)=nxn1, for n=3 5. f(x)=xf(x)=1/(2x) 6. f(x)=exf(x)=ex 7. f(x)=2xf(x)=(loga)ax 8. f(x)=logxf(x)=1/x 9. f(x)=sinxf(x)=cos(x) 10. f(x)=cosxf(x)=sin(x) Color curves for f in green and curves for f in red, values for f(x=1) and f(x=1) in black. Problem 3. read and install the "sympy" Python package https://scipy-lectures.org/packages/sympy.html Read the section on calculus (differentiation) and use the "sympy" Python package to compute derivatives for each function in Problem 1