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:
108 miles
Step-by-step explanation:
Given the points (0.5, 135) and (2,81)
Diatnce between two points :
D = √(x2 - x1)² + (y2 - y1)²
X1 = 0.5 ; y1 = 135 ; x2 = 2 ; y2 = 81
D = √(2^2 - 0.5^2) + (81^2 - 135^2)
D = √(4 - 0.25) + (6561 - 18225)
D = √3.75 −11664
D = 107.98263
D = 108 miles
The other end point would be (5,-11)
Answer:-4s+14
Step-by-step explanation: combined like terms.
2s-6s= -4s, 4+10=14
Answer:
x = 6
Step-by-step explanation: