Find f' (7. 50) from the following table : 7. 48 · 195 7. 47 7. 49 7. 50 7.51 7. 52 7. 53 y=f (x): 193 198 · 201 · 203 · 206 · 208

Q: Find the derivative of function defined as follows.

A: Given:  y = 6x4 - 2x3 + 5x+ 3To Find:  Derivative of y that is dydxSolutionWe will find the dydx by…

Q: What is the geometric interpretgtron of the derivative f'(a)?

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Q: Calculate the derivative of the function. s (z) = () 8z+5 2z-6

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Q: Define the derivative of f(x) at x =a

A: For a function f(x), the derivative is defined as: Now at x=a, the derivative is defined as:

Q: Differentiate the following function:R(q)=q^4−9lnqEnter the derivative here:

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Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Compute backward difference approximations for the first derivative of the function, y =[ e'nxP, at…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

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Q: Calculate the derivative.

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Q: x'+e' = y

A: Given: ⇒x2+ey=y2

Q: se the definition of one-sided derivatives to compute f(1) a

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Q: Compute forward difference approximations for the first derivative of the function, y =[ eln(x)2, at…

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Q: = At³ – B %3D

A: Given,

Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Where is the function defined by f(x) = In (x) increasing? Where is f(x) decreasing? Where is the…

A: Given a function: f(x)= ln(x) and the function is defined in the domain x∈(0, ∞)Then, f'(x)=1x

Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

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Q: Is the function f(x) = |x| cos x differentiable at the point x = 0 ? (Use definition of the…

A: if lim∆x→0f(∆x+x)-f(x)∆x doesn't exist then not differential

Q: Give two different interpretations of the derivative of the function y = f(x) at x = a.

A: If f(x) represents a quantity at any x then the derivative f′(a) represents the instantaneous rate…

Q: Find the derivative of function defined as follows. s(t) = 12(2t4 + 5)3/2

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Q: Is the functionf(x) = |x| cosx differentiable at the point x =0 ? (Use definition of the derivative)…

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Q: Give a justified example of function f(x) that is differentiable everywhere, yet its derivative has…

A: Definition of Differentiability p(x) is said to be differentiable at the point x = b if the…

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

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Q: show that the function is derivable and that the derivative is continuous.

A: The objective is to show that the given function is derivable and the derivative is continuous.…

Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

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Q: What is the derivative of f(x)?

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Q: The derivative f'(a) represents the instantaneous rate of change of y = f (x) with respect to x when…

A: Given that we need to check  behaviour of  the statement " The derivative f'(a) represents the…

Q: Find the derivative of f(y) = ee") eelos f'(y) =

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Q: x(1) = ミレ。 V 1 y(1) = vt 2

A: Given that, x(t) = voxt y(t) = voyt - 12gt2 We have to calculate the first and second derivative of…

Q: Find the derivative of f (x) = V7– 4x. To enter va, type sqrt(a).

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Q: On May 9, 2007, CBS Evening News had a 4.3 point rating. (Ratings measure the number of viewers.)…

A: Considering p be the rating point and f(p) be the revenue earned in millions of dollars.

Q: What is the derivative of y = ekx?

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Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: In the interval 3 < x < 4 of the first derivative test, f(x) is a. Not moving b. Changes direction…

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Q: What is the first-order derivative of y = x^y?

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Q: whot is the complele derivative of y: 2.

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Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: The derivative and antiderivative of a function are unique. O True False

A: derivative of a function is always unique  but integration is not unique, it depends on constant…

Q: Find the derivative of the function. f(z) = V9 + VI+ VE f (x) =

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Q: Find the derivative of the function.

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Q: 2. Use the second derivative to find the inflection points and the intervals on which f(x) is…

A: For inflection point, Put f"(x)=0. For concave upward, f"(x) &gt; 0. For concave downward, f"(x)…

Q: Compute forward difference approximations for the first derivative of the function, y = e*cos(x²),…

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Q: 2. Use the definition of the derivative of a function at a number to calculate f'(8) where f(x) is…

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Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: Compute for the derivative of 3 y = х |

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Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…

Q: Let f(x)= 2x^3+3x^2-12x on [1,3] What is the average rate of change in f on [1,3]?

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