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:
Step-by-step explanation:
JUST HERE FOR THE POINTS
Answer:
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
Step-by-step explanation:
A child ticket costs c and an adult ticket costs a = c + 1.
21 children pay c dollars each for admission, and
3 teachers pay c + 1 dollars each for admission.
Thus,
21c + 3(c + 1) = $105, and
21c + 3c + 3 = $105, so that:
24c = $102
c = price of child ticket = $4.25
a = price of adult ticket = $4.25 + $1.00 = $5.25
2/3 is your answer to the question
The answer is 32.5%
and if you need it in decimal form, it would be,
