Using the limit definition, find the derivative of the following function: f(x) = csch(csc(x)) csch(csc(x + A x)) – csch(csc(x)) csch(csc(A x)) A lim Ax+0 csch(csc(x)) – csch(csc(x+ A x)) B lim Ax Ax+0 csch(csc(x) + csc(AxX)) – csch(csc(x)) lim Ax Ax+0 csch(csc(x+ A x)) – csch(csc(x)) lim (D Ax Ax+0

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A: Apply Limit rule

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Q: find the derivative x using the of f (x) = x2 - definition of derivative, %3D f(x+h)-f(x) lim h0 h

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Q: 1 Using the definition of the derivative as a limit, find f'(x) for f(x) x + 1 ||

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x-3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: 17. f(x) = x2 + x – 3

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Q: Find f'(x) using the limit definition of derivative.

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A: Topic :- limits

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x - 3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: lim (x²Vx* – 1 – x*)

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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: