e definition of the derivative (limit

Q: If a function has a finite derivative at a given point , prove that it is continuous at that point .…

A: Let any function f(x) has a finite derivative at any given point say (c) It means…

Q: X3.2.39 Question Help ▼ Compute the right-hand and left-hand derivatives as limits and check whether…

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Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Differentiation. Find the value of the derivative of (iz³ + 15z²)³ 3 at 10i. [(iz³+152²)³] -405000…

A: The given problem is to find the value of the derivative of the given complex function at z=10i by…

Q: Use the definition of the derivative to evaluate the following limits.

A: Derivative of a function f(x) is defined as, f'(x)=limh→0f(x+h)-f(x)h. Derivative of a function f(x)…

Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: find derwatue show all work

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Q: State the formula for the definition of the derivative of a function f (x) provided x is any number…

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Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: 1. Let f(x) = x X+1 and g(x)= x-1. Find the following: (a) f(1)+g(1) (b) (f o f )(x) (c) f(3)/ g(3)…

A: Given fx=xx+1     gx=x-1

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: Definition: Let f: A → R be a function defined on a set A containing the point c. We say that fis…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: