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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

image text in transcribedSolve 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 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

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