ball is draped from feet after t seconds 6. ht fect 500 ts heighe by h(t)s00-1 ज in lven (b) Use the limit definition of the derivative to find the instantaneous velocity v(2) of the ball after 2 seconds. Include the proper units in your solution. Finding the derivative using anything other than the limit definition will earn zero credit.

Q: 5. Why does it make graphical sense that the derivative of aconstant is zero? That the derivative of…

A: Derivative of a function is a slope of function on given point, or derivative is a rate of change of…

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A:

Q: An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Here the given function  hx=x+2, c=-2 The function can be written as hx=x+2,x≥-2-x-2,x≤-2

Q: 3) Given the function g(x)= 2x² – 5x a) Find the derivative using the limit definition. b) Find the…

A: Since you have posted multiple subparts, as per our policy we will answer first question. Please…

Q: If f(x)=4/x, find the derivative of f(x) at x=2 using the limit definition of the derivative at a…

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Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

A:

Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: a. Find the derivative of f(x) = x2 - 5x at x. That is, find f′(x). b. Find the slope of the tangent…

A: Given: fx=x2-5x To Find: a. f'x=?b. Slope of tangent line of the given function at x=-1 and x=3

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: In x se the second derivative test to find the local extrema for the function f (x) = x3 •

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Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

A:

Q: Suppose the derivative of the function y = f(x) is y' = (x- 2) (x + 6). At what points, if any, does…

A: see 2nd step

Q: 4 4) (i) Find the equation of the tangent line at the point (2, 4) for the curve, f(x) = x². (ii)…

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: 2. Using the limit definition of the derivative, find the derivative of the function %3D 2+1 at z =…

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Q: 3. Use the limit definition of the derivative to find the equation of the tangent line to the curve…

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Q: Find the equation of the line tangent to y = at the point (-2,1) 2x2 +1 Show all work. (You must use…

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Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). =…

A: Hint:

Q: (d) VT tanr - 2 V lim /4 VT x(4x – 7) Hint: divide both parts of the fraction by VT x and represent…

A:

Q: 2) NOT use the short cut method). Use the result to find the slope of the tangent line at the point…

A: Topic:- Derivative

Q: II. Compute the right-hand and the left-hand derivatives as limits to show that the following…

A: Given,

Q: Find the derivative of the function using the slope limit formula. 1 y= 3-х 1. y=(3x+1)2 2. 1 y= 1…

A: Note : As per our company guide lines, we are supposed to answer only one question. Kindly post…

Q: (a) Let f(x)=√√2x+1. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A:

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: Find the derivative y using limit  definition y=6x^2 +4x

A:

Q: Find y' if y = 5x + 2 using the limit definition of derivative.

A: Given that  y=5x+2

Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: Find f'(x) using the limit definition of derivative.

A: We have given,

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

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

A:

Q: 2. Let f (x) = 5x2 –7. (a) Use the definition of the derivative, f'(a)= lim s(a+h}- f(@) %3D A-40 to…

A:

Q: 1. Let f(x) =1. Using the limit definition of the derivative, find f'(x).

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take x=-6

Q: Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the…

A: According to question given that f(x)=|x|+x"A function f is said to be differentiable at a if  f'(a)…

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

Q: 2.Given f(x)=5Vx-1, find f'(x)using the limit definition of the derivative.

A: Given f(x)=5x-1

Q: Suppose the derivative of the function y=f(x) is y’=(x—1)^2(x—2). At what points, if any, does the…

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Q: Let f(x) : 3x Using the limit definition of the derivative, find the equation x +1 of the line…

A: Given data: The given function is f(x)=3x/(x+1). The given point is (a, b)=(2, 2). The expression…

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: 3. Use the limit definition of derivative to find f'(x) for f (x) = You will only get credit for…

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Q: 1. Suppose f(x)= 2x/x+2 (a)  Use the definition of derivative to find the slope of the tangent line…

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Q: Suppose that the first derivative of y = ƒ(x) is y′ = 6x(x + 1)(x - 2). At what points, if any, does…

A: Here the first derivative of the given function is y’= 6 x (x+1) (x-2). If a function has zero…

Q: 7. Use the limit definition of the derivative to find f'(x). Then find the equation of the tangent…

A: