5(3 + h)° – 3645 lim h State the function and the number: f(x) = %3D a = %3D

Q: The limit (5+h) – 25 lim h→0 h represents the derivative of some function f(x) at some number a.…

A: Given:  The limit limh→0 5+h2-25h represents the derivative of some function fx at some number a. To…

Q: the limit         limh→0  (√(25+h) - 5)/h represents the derivative of some function f(x) at some…

A: We know that,

Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the…

A: a)

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the…

A: a) Using the limit definition of f'(x) we get:

Q: Find a formula for the derivative of the function g(x) = 4x² – 5 using difference quotients: %3D g…

A: In this given question we have to find formula of derivative and find its value for given function.

Q: The limit below represents the derivative of some function f(x) at some number a. 2(1+ h)* – 2 lim…

A:

Q: 1. a) From our class discussions, recall that the derivative of a function f at a is, by definition,…

A: We can find the answer as given below

Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: 1. a) From our class discussions, recall that the derivative of a function f at a is, by definition,…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: (b)    Find the equation of the tangent line at x=6.

A: Find the functional value f(x) at x=6.

Q: (d) Find the instantaneous rate of infection as a function of t using the limit definition of the…

A: Given: Vt=-t3+t2+12t, where Vt is the number of people in hundredswith the virus and t is the number…

Q: Let S(x) = :- 3 Use the limit definition of the derivative to find O S'(-1) = (1) f' (2) = (li) f'…

A: Consider the formula for limit to calculate the value for the derivative. Calculate f(x) and f…

Q: The given limit represents the derivative of a function at y = f(x) at x = a. Find f(x) and a. 2(3 +…

A:

Q: Question Which of the following is the correct limit definition for the derivative of g(x) = 2"? %3D…

A:

Q: The limit below represents the derivative of some function f(x) at some number a. 6(3+h)- 486 lim |…

A: we know that the derivative of function f(x) at point x= a is given as limh→0f(a+h) - f(a)h

Q: 5. A beach ball is thrown upward from a 20m high building. Its position function is given as…

A:

Q: Use limits to find the derivative function f' for the function f. - Evaluate f'(a) for the given…

A:

Q: The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim…

A: To determine the function f(x) and point a.

Q: The limit lim h→0 ((√ 144 + h) – 12)/ h represents the derivative of a function f(x) at a number a.…

A: Given,           limh→0144+h-12h represents the derivative of a function f(x) at a number a.

Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given…

A:

Q: Jse the figure below and the chain rule to estimate the derivative. The graph of f (x) has a sharp…

A: Here we have, f(x) has a sharp corner at x=6  and the graph of f(x) and g(x) is ,

Q: The limit below represents the derivative of some function f(x) at some number c 4(3+ h) -324 lim h…

A: We have to solve

Q: Which of the following is/are NOT true I. The limit of a constant is zero. II. Secant line is a…

A: The tangent line of any given function is the line that touches the curve of the function at only…

Q: f(r+h)-f(x) 1. Use the definition f (x) = lim to find the first derivative for the function h0 h…

A:

Q: Question Given f(x) = 8x + 1, write a limit representing the derivative of f(x) at x = 1. Provide…

A:

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the…

A: Given function is fx=4x2+1 For a=2, the value of the function will be,fa=4a2+1f2=422+1=16+1=17

Q: Let f(x) : x +1 Use the limit definition of the derivative to find () f'(-5) = (i) f'(-2) = (ii) f'…

A:

Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh…

Q: The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim…

A: Given limh→0 2(2+h)4-32h ...(1)

Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

A:

Q: Can you please help me step by step with this problem?

A: From the given graph, it can be clearly seen that the corresponding function is:

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A: We need to find right hand derivative of given function.

Q: The limit below represents the derivative of some function f(x) at some number a. 5(2 + h)° – 320 -…

A:

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A: For the right hand derivative we use equation y=3x-13 limh->0+f(4+h)-f(4)h f(x)=3x-13…

Q: The limit (8+ h)² – 64 lim h→0 h represents the derivative of some function f(x) at some number a.…

A: We will find the f(x) and a by using limit definition as shown below

Q: The limit below represents the derivative of some function f(x) at some number a. 5(2 + h) – 160 lim…

A:

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A: A function is differentiable at point P when: LHD=RHD=finite value where LHD(left-hand derivative)…

Q: Use the limit definition of the derivative to find (1) f'(-2) = (ii) f' (0) = (ii) f' (3) = (iv) f'…

A:

Q: Find the derivative of the function by the limit process. g(t) = ³ + St g'(t)=3t+5 Submit Answer

A: given       g(t) = t3+5t Derivative of the given function follow this formula   d/dx (xn) = nxn-1…

Q: The limit below represents the derivative of some function f(x) at some number a. 3(2 + h)° – 192…

A:

Q: Evaluate the derivative of the function given below using a limit definition of the derivative. f(x)…

A:

Q: a) Use the limit definition to find the derivative function, h'(x), of the given function h(x). 2…

A: The derivative of f(x) with respect to x is given as limh→0f(x+h)-f(x)h

Q: The limit below represents the derivative of some function f(x) at some number a. 2(1 + h)° – 2 lim…

A:

Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h)* – 243…

A:

Q: The limit V4 +h -2 lim h 10 h represents the derivative of some function f(1) at some number a. Find…

A: We know the derivative of f(x) at some number a is defined as f'(a) = limh→0f(a+h) - f(a)h…

Q: The limit below represents the derivative of some function f(x) at some number a. 2(3 + h)* – 162…

A: we have given the derivative of a function at some number a . We have to find the function and that…

Q: (a) Write down the limit definition of the derivative f' (x) for a function y = f(x). 1 (b) Use the…

A:

Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

A:

Q: 4x Consider the function f(x) : 3 – x a. Use the \underline{limit definition of derivative} to find…

A: We can solve all these points in the following way:-

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: