2 multiple choice 1 point\nwhat is the derivative of ( x + 3 )?\n1\n( x )\n4\n3\n( x^{-1} )\nclear my…
2 multiple choice 1 point\nwhat is the derivative of ( x + 3 )?\n1\n( x )\n4\n3\n( x^{-1} )\nclear my selection
Answer
Explanation:
Step1: Apply sum rule of derivatives
The sum rule states that if (y = u + v), then (y^\prime=u^\prime + v^\prime). Let (u = x) and (v = 3).
Step2: Differentiate (u=x)
Using the power rule (\frac{d}{dx}(x^n)=nx^{n - 1}), for (n = 1), (\frac{d}{dx}(x)=1\times x^{1-1}=1).
Step3: Differentiate (v = 3)
The derivative of a constant (C) (here (C = 3)) is (0), i.e., (\frac{d}{dx}(3)=0).
Step4: Find the derivative of (y=x + 3)
By the sum rule (y^\prime=\frac{d}{dx}(x)+\frac{d}{dx}(3)=1+0).
Answer:
1