True or false? A function does not have a derivative at x if its left hand derivative is not equal with its right-hand derivative

Q: what is derivative of f(x)=x/(x+1)^2

A:

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: Question: What kinds of function behavior would result in the function f not having a derivative at…

A: Answer

Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

A:

Q: true or false?  If the second derivative is 0 at a point then the point is an inflection point.

A:

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: Definition: "The second derivative of a function f with respect to the variable x evaluated at x = a…

A: Since the second derivative of a function f is the derivative of the derivative of function f.

Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: fx=5x2-2x2 , 3,59 To determine: Slope of the graph of the function at the given point.

Q: Why is the derivative of a constant function zero?

A: Consider the constant function fx=k. Apply the derivative definition as follows.

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A:

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

A:

Q: Find the derivative of the algebraic functions: f(x) = x (1 - 4/x+3) g(x) = x + cot x

A: Find the derivative of the algebraic functions: f(x) = x (1 - 4/x+3) g(x) = x + cot x

Q: true or false the derivative of f(x) at x=a is f'(a)=(f(a+h)-f(a))/h

A:

Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

A:

Q: Find the derivative of the function. 8 f(x) + Scos x f (x) =

A: Given:     To determine: f'(x)

Q: Find the derivative of the function f(x)=x^5(1-(1/(x+4))   f'(x)=

A:

Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find and evaulate the derivative of the function at the given point. The point is (0,-2)

A:

Q: Find the first derivative of f. f'(X) = Determine the sign of the first derivative function as x…

A:

Q: What is the derivative of a constant function?

A: The derivative of constant function is always zero.

Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Find the deriviate of the function using the definition of a derivative. State the domain of the…

A: Consider the given function.

Q: If a function is continuous and differentiable then its derivative continuous? True O False

A: A function, y=f(x) is continuous, if there are no holes or jumps in the graph of y=f(x) .

Q: Is there anything special about the derivative of an even differentiable function of x? Give reasons…

A: The derivative of an even differentiable function is odd.

Q: 5. What is the definition of the derivative of a function f(x) ?

A:

Q: (# 11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) =…

A: For the equation of tangent, we need to find the slope of the function at x=1.

Q: Is there anything special about the derivative of an odd differentiable function of x? Give reasons…

A: First of all, assume the function f (x).Then use the property of odd function to find f (x).

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: 1 Use the definition of derivative to find the derivative of the function f()

A: Solution:

Q: . What process can you use to find the derivative of f(x) g(x) ? Illustrate by showing how to take…

A: We have to find

Q: Graph the derivative of the function f(x) if the graph of f(x) is

A:

Q: True False The derivative of an odd function is odd

A: Prove that:  The derivative of an odd function is odd

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

A:

Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: 31. Using one-sided derivatives, show that the function f(x) = {2. [x² +x, | 3х — 2, х> 1 does not…

A: Given: fx=x2+x     , x≤13x-2   ,  x>1

Q: Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

A: Given f(x)=-3

Q: Use the fact that the derivative of the function f(x) = is f'(x) = - to find the equation of the…

A:

Q: Find the instantaneous rate of change of f(x) = x* at x = 3. %3D Find the derivative of g(x) = x + x…

A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate…

Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: True or false: if f is continuous at a, then the derivative of f exists at a. If it is false, can…

A: To find  -- if f is continuous at a, then the derivative of f exists at a or not.

Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

A:

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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: