Sentences with FIRST-DERIVATIVE
Check out our example sentences below to help you understand the context.Sentences
1
"The first derivative of a function measures the rate at which the function is changing at a specific point."
2
"To find the first derivative of a function, you can use the power rule."
3
"The first derivative is also known as the slope of the tangent line to the graph of a function at a given point."
4
"In calculus, the first derivative is often used to analyze the shape and behavior of a function."
5
"The first derivative gives us information about the direction of the function's change."
6
"To calculate the first derivative of a function, you can use the difference quotient."
7
"The first derivative of a constant function is always zero."
8
"The first derivative of the function f(x) = x^n is f'(x) = nx^(n-1)."
9
"If the first derivative of a function is negative, the function is decreasing."
10
"The first derivative of a function can also be interpreted geometrically as the instantaneous rate of change."
11
"The first derivative of a function is denoted by f'(x) or dy/dx."
12
"The first derivative can help us identify critical points and extrema of a function."
13
"Finding the first derivative is an essential step in optimization problems."
14
"The first derivative of the sine function is the cosine function."
15
"In physics, the first derivative of the position function with respect to time gives the velocity."
16
"The first derivative of a function can be used to determine the concavity of its graph."
17
"Differentiation is the process of finding the first derivative of a function."
18
"The first derivative of a function may not exist at certain points where the function is not differentiable."
19
"The first derivative can be used to locate relative maximum and minimum points of a function."
20
"The concept of the first derivative is fundamental in calculus and mathematical analysis."
1
"The first derivative of a function can be used to determine the slope of its graph at a specific point."
2
"To find the first derivative of a function, you can use methods like the power rule or chain rule."
3
"The first derivative of a constant is always zero."
4
"In physics, the first derivative of an object's position function with respect to time gives its velocity."
5
"The first derivative of a function can help identify maximum and minimum points on its graph."
6
"To analyze the concavity of a function, you can examine its second derivative after finding the first derivative."
7
"When a first derivative is positive, it indicates that the function is increasing."
8
"The first derivative of a trigonometric function like sine or cosine can be determined using the chain rule."
9
"The first derivative of a polynomial function can tell us the slope of the curve at any given point."
10
"Understanding the first derivative is crucial in calculus and mathematical analysis."
