/h] = »(t) = im h0 /h] = 그(t): lim [ h0

Q: Find the derivative of by the limit process

A: fx = 342-x

Q: et +ex -x²-2 Lim- x-0 sin²x-x²

A:

Q: lim at e -

A: Find the limit when x tends to 0

Q: Use the limit definition of the derivative of the given function at the given value of x (if it…

A: Given functions are

Q: tan 3h 3. Estimate the value of lim,0- by creating a table of function values for h h = 0.01,0.001,…

A: We need to substitute these values of h in function f(h) to evaluate limit

Q: 1. Use the limit definition of derivative (no shortcuts!) to find the derivative of f(x) = 3x² + 2x.

A: The formula for derivative of function f(x) using limit is given by:…

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

A:

Q: The slope of the tangent line to the graph of the function y = 2x3 at the point (2, 16) is lim2"…

A:

Q: Use the limit definition of the partial derivative to verify the formulas

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: lim as x-->0  of (x+1-cosx)/x

A: The given limit of the function:

Q: Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3x using First…

A:

Q: Express the limit as a derivative.

A: To express: limit limx→-1x3+1x+1 as a derivative. Concept used: Definition of derivative:…

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

A:

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: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the…

A:

Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

A:

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the…

A:

Q: Find the derivative of the function f(x)=2x2 using the limit definition.

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

Q: Using the fact that lim = 1, show by formal definition of a derivative:

A:

Q: Find the derivative of the function using the limit definition of the derivative. f(x) = 3x - 8

A: We have to find the derivative using limit definition of the derivative for the function: fx=3x-8 We…

Q: find the derivative of the function the limit process. by flx) %3D

A: Given f(x)=1x2We know that derivative of f(x) with respect to x is defined…

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

A:

Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the…

A: Shape of tangent line to the curve is given by first derivative of curve at given periodDerivative…

Q: Compute derivative of function using limit definiton

A:

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

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Q: state the limit definition of the derivative

A:

Q: Explain the rule of maximum and minimum using Derivatives with an example?

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

A: Given that  y=5x+2

Q: ve of the function using the definition of derivative. = V7- x 1 2 7-x n of the function. (Enter…

A:

Q: State the limit definition of the derivative.

A: derivative can be defined as below:-

Q: 3. y = at point (0, -) X-3

A: Topic = Derivative

Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

A:

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: Find the derivative using the long method 3-t to

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Q: 5. ƒ(x) = (x²+x−3)√√x²+x=3

A:

Q: -3 at the point (9,-1) using only the limit 3. Find the exact equation of the tangent line to the…

A:

Q: - lim SinTX メー→ メ ー」

A: We need to evaluate limx→ 1sinπxx-1.

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

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Q: fox)= x+ ?

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Q: Find the derivative..thefallowing.vecten. Fumctens. a.. -1 ..... ...

A:

Q: Calculate lim dt.

A: To evaluate this integral , we will use the fundamental theorem of calculus and Lebnitz theorem.

Q: 2 2. f(x) = 5-x², (3,-4)

A:

Q: lim (x²Vx* – 1 – x*)

A:

Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

A: