1) The derivative of the function g(x) = (3x - 5)/(x - 2) at a = 1 is; g'(1) = -1
2) The derivative of the function f(x) = √(3x - 4) at a = 2 is; 3/(2√2)
What is the Derivative of the Function?
1) We want to find the derivative of the function g(x).
g(x) = (3x - 5)/(x - 2)
g'(x) = -1/(x - 2)²
Thus;
g'(1) = -1/(1 - 2)²
g'(1) = -1
2) We want to find the derivative of the function f(x).
f(x) = √(3x - 4)
f'(x) = 3/(2√(3x - 4))
f'(2) = 3/(2√(3(2) - 4))
f'(2) = 3/(2√2)
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