Given a polynomial string str, the task is to differentiate the given string and print the string after differentiating it.
Note: The input format is such that there is a whitespace between a term and the ‘+’, ’-’ symbol
Input: str = “4X3 + 3X1 + 2X2”
Output: “12X2 + 3X0 + 4X1”
The derivative of p(x) = A*XN is p'(x) = A * N * XN – 1
Input: str = “5X4 + 6X2 + 5X2”
Output: “20X3 + 12X1 + 10X1”
Approach: The idea is to observe that when the given equation consists of multiple polynomials , the differentiation of the given polynomial .
And, it is known that the derivative of is
Therefore, we split the given string and differentiate every term in it.
Below is the implementation of the above approach:
20X^3 + 12X^1 + 10X^1
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