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

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

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Q: f(x, y) = ln(-6x – 4y), (5,6), A=6i + 8j 14 17 A) 135 135 B) C)/17 D) 11 135

A: Duf=∇f·uu

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: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

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Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: Find the derivative of the below functions: In(x) y = 1-8 In (x) y' = (a) = In(/ 5x – 7) y = INV5X -…

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Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

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Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: The derivative of the function is equal to

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Q: ч-тахи-лых

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Q: Find the derivative of given function by defination.

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Q: Definition: Let f: A → R be a function defined on a set A containing the point c. We say that fis…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: