/ 2 \ \x + 3*x - 1/*(2*x - 1)
d // 2 \ \ --\\x + 3*x - 1/*(2*x - 1)/ dx
Apply the product rule:
; to find :
Differentiate term by term:
Apply the power rule: goes to
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The derivative of the constant is zero.
The result is:
; to find :
Differentiate term by term:
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The derivative of the constant is zero.
The result is:
The result is:
Now simplify:
The answer is:
2 -2 + 2*x + 6*x + (3 + 2*x)*(2*x - 1)