she thought she would get points of infliction!
the second derivative at an inflectiion point is zero
When the first derivative of the function is equal to zero and the second derivative is positive.
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
You are supposed to use the chain rule for this. First step: derivative of root of sin2x is (1 / (2 root of sin 2x)) times the derivative of sin 2x. Second step: derivative of sin 2x is cos 2x times the derivative of 2x. Third step: derivative of 2x is 2. Finally, you need to multiply all the parts together.
(x3)'=3x2(x3)''=(3x2)'=6x
She was afraid it would be constant. (Constance) She was afraid it would be a related function.
it tells you if it is a min or max
The derivative of speed is acceleration, which measures how quickly an object's velocity is changing. It is calculated by finding the rate of change of velocity with respect to time. Mathematically, acceleration is the second derivative of position with respect to time.
The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.
Derivatives for displacement refer to the rate of change of an object's position with respect to time. It can be calculated by finding the first derivative of the position function. The first derivative of displacement gives the object's velocity, while the second derivative gives the acceleration.
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
2x is the first derivative of x2.
Yes.
2x is the first derivative of x2.
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)