Find the value of the constant c that makes the following function continuous on (-∞, 0). cs +5 if s € (-0, 8] | cs² – 5 if s e (8, 0) f(s) = c =

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Q: Use the Chain Rule to find f"(x)

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Q: C. L-1 9s² +25

A: Since all the questions are different and not related to each other, as per the guidelines I am…

Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

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Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: ex - 32 √x +x 22

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Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

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Q: Let f(x) = 11 + 5 f- (2) =

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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.