Calculus-in-python

Just differentiate and integrate!

In this project, you will have one common parameter ie: 'f', which certainly means a function f(x). In the polynomial part, f acts as a list of coefficients of decreasing powers of x in the function f(x). In the trigonometry part, f acts as a list of lists of coefficient, power of sine function and power of cosine function.

Example 1: Differentiate f(x) = 5x ³ + 3x ² + 4x + 1

from calculus.polynomial import differentiate

differentiate(f=[5,3,4,1])

Output-

[15,6,4]

Example 2: Integrate f(x) = 5x ³ + 3x ² + 4x + 1

from calculus.polynomial import integrate

integrate(f=[5,3,4,1])

Output-

[1.25, 1.0, 2.0, 1.0, 0]

Example 3: Differentiate f(x) = 3sin²xcos³x + 4sin⁴xcos²x

from calculus.trigonometry import differentiate

differetiate(f=[[3,2,3],[4,4,2]])

Output-

[[6, 1, 4], [-9, 3, 2], [16, 3, 3], [-8, 5, 1]]

Example 4: Differentiate f(x) = 3sin²xcos³x + 4sin⁴xcos²x at x = 𝝿/2

from calculus.trigonometry import derivative_at_p

derivative_at_p(f=[[3,2,3],[4,4,2]],p=math.pi/2)

Output-

0