The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.
If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
Answer: 2
Step-by-step explanation:
m = y2 - y1 / x2- x1
where slope is m,
so in this case it would be
m= 1-(-1) / 3-2
m=2/1
m=2
Note that you can do it either way
The answer on the picture is right
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