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How do you prove if the given function is a constant function using Mean Value Theorem?
The Mean Value Theorem states that the function must be continuous and differentiable over the whole x-interval and there must be a point in the derivative where you plug in a number and get 0 out.(f'(c)=0). If a function is constant then the derivative of that function is 0 => any number you put in, you will get 0 out. Thus, using the MVT we deduced that the slope must be zero and since the f(x) is a constant function then the slope IS 0.
What else can I help you with?
How can I generate a declining function with constraints on the x and y intercepts so that the integral of the curve is constant?
The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.
For a continuous random variable the probability that the value of x is greater than a given constant is?
The integral of the density function from the given point upwards.
Are the function F of x equals -2over 3 plus 1 and determine the slope explain?
The function that is given has a constant value and therefore, its slope is 0.
The value that results from the substitution of a given input into an expression or function?
The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
What are limits in maths?
Limits (or limiting values) are values that a function may approach (but not actually reach) as the argument of the function approaches some given value. The function is usually not defined for that particular value of the argument.
How can I generate a declining function with constraints on the x and y intercepts so that the integral of the curve is constant?
The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.
For a continuous random variable the probability that the value of x is greater than a given constant is?
The integral of the density function from the given point upwards.
Are the function F of x equals -2over 3 plus 1 and determine the slope explain?
The function that is given has a constant value and therefore, its slope is 0.
How do you evaluate a function for a given input value?
Substitute the given value for the argument of the function.
The value that results from the substitution of a given input into an expression or function?
The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
What does calculus have in it?
Basic calculus is about the study of functions. The two main divisions of calculus are differentiation and integration. Differentiation has to do with finding the tangent line to a function at any given point on the function. Integration has to do with finding the area under (or above) a curve. Other topics covered in calculus include: Differential equations Approximations of functions (linear approximation, series, Taylor series) Function analysis (Intermediate Value Theorem, Mean Value Theorem)
Who had given Basic Proportionality Theorem?
"thales" has given this bpt theorem.
What are limits in maths?
Limits (or limiting values) are values that a function may approach (but not actually reach) as the argument of the function approaches some given value. The function is usually not defined for that particular value of the argument.
A constant is a factor that?
It does not change its value whatever the value of the variables, under a given set of conditions.
What is non numeric constant?
An algebraic letter. e/g 5a 'a' is a non numeric constant. Remember in algebraic , when a letter is given , it means that the value of the letter is a constant, but the value is unknown .
What is the significance of the Weierstrass theorem in mathematical analysis?
The Weierstrass theorem is significant in mathematical analysis because it guarantees the existence of continuous functions that approximate any given function on a closed interval. This theorem is fundamental in understanding the behavior of functions and their approximation in calculus and analysis.
What is the point of graphing a trig function (sin cos etc.)?
The functions are periodic and so, given any value (within the range) the function can take the value several times, Graphing the function can help you determine secondary points at which the function takes a given value.
