We see that given the function g(x) = x2 + 3 and two input values of x and x + h, the difference quotient is 2x + h, where h is the difference between the two input values.
Q. What is the differentiation of 5x?
As the power of ‘x’ is 1, this is brought down and multiplied by 5 and the power of x is 1-1 = 0. Therefore, the power of x is 0, which is equal to 1 and is multiplied by the five.
Table of Contents
- Q. What is the differentiation of 5x?
- Q. What does the derivative tell you?
- Q. How do you interpret the first derivative?
- Q. What is the H in the derivative formula?
- Q. Why must h go to zero in the definition of the derivative?
- Q. What is the limit as h approaches 0?
- Q. What is the value of Sinh h?
- Q. What is tan h h?
- Q. What side is tan?
- Q. How do you do tangent?
Q. What does the derivative tell you?
Simply put, an increasing function is one that is rising as we move from left to right along the graph, and a decreasing function is one that falls as the value of the input increases. If the function has a derivative, the sign of the derivative tells us whether the function is increasing or decreasing.
Q. How do you interpret the first derivative?
The first derivative primarily tells us about the direction the function is going. That is, it tells us if the function is increasing or decreasing. The first derivative can be interpreted as an instantaneous rate of change. The first derivative can also be interpreted as the slope of the tangent line.
Q. What is the H in the derivative formula?
The value of. f(a+h)−f(a)h. is the slope of the line through the points (a,f(a)) and (a+h,f(a+h)), the so called secant line. Note that Δx=a+h−a=h and Δy=f(a+h)−f(a). The limit of the secant lines as h tends to zero is the tangent line.
Q. Why must h go to zero in the definition of the derivative?
The derivative represents the change of a function at any given time. Take and graph the constant 4 : graph{0x+4 [-9.67, 10.33, -2.4, 7.6]} The constant never changes—it is constant. Thus, the derivative will always be 0 .
Q. What is the limit as h approaches 0?
2x
Q. What is the value of Sinh h?
limh→0 sinh h = 1. area of the circle is h 2π , the area of the sector is h 2π · π = h 2 . the x-axis.
Q. What is tan h h?
tan h = sin h. 2 cos h =⇒ cos h <
Q. What side is tan?
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos. Finally, the ratio of the opposite side to the adjacent side is called the tangent and given the symbol tan. The ratio of the opposite to the hypotenuse is .
Q. How do you do tangent?
The tangent function, along with sine and cosine, is one of the three most common trigonometric functions. In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.
