Consider the definition of a derivative at a limh→0 f(a+h)-f(x) h We started by thinking about this as a limit of secant lines. In terms of the secant line, what does the numerator represent? O The change in the x-values between the to points where the secant crosses the graph. O The change in the y-values between the to points where the secant crosses the graph. The slope of the secant line. O No answer text provided.

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: 1.0

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Q: Below is the graph of the derivative f'(x) of a functic defined on the interval (0,8). You can click…

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Q: 34. Draw the graph of the derivative. The graph of f (x) is provided.

A: Given

Q: 1. Sketch the graph of the derivative of the function:

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Q: y II. y f'

A: Only one point is able to distinguish between the curves.That is f'(x)=0when f'(x) crosses 0 whenf…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Use the limit DEFINITION OF A DERIVATIVE to find the derivative of the function. 16) f(x) = Vx + 5…

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=x+5.

Q: Which of the following represent the derivative of the function f at the input x = a? Select all…

A: The definitions of a derivative of a function f at x = a are given below

Q: graph of the derivative f. -2 2 -2 2 XI

A: The graph of the function fx is  To Sketch: The graph of the derivative f'x

Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: A movie theater has a differentiable function t=g(c) which models the number of movie tickets sold t…

A: The derivative of a function is always finding the derivative of that function or expression with…

Q: Given the function "--6X(x²-ax +4)

A: 1. The second derivative test to find the interjection points is done by equating the second…

Q: 21. y =(x-3)√x

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.