(Solved): Solve the problem in Python please!
Problem 1. Plot both the function f(), its derivative f( ...
Solve the problem in Python please!
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 ?3?x?3 ): 1. f(x)=1?f?(x)=0 2. f(x)=x?f?(x)=1 3. f(x)=x2?f?(x)=2x 4. f(x)=xn?f?(x)=nxn?1, for n=3 5. f(x)=x??f?(x)=1/(2x?) 6. f(x)=ex?f?(x)=ex 7. f(x)=2x?f?(x)=(loga)ax 8. f(x)=logx?f?(x)=1/x 9. f(x)=sinx?f?(x)=cos(x) 10. f(x)=cosx?f?(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.