Each derivative represents the first li Please state this original function, f(x f'(x) = lim h→0 3(x+h) - 3x h

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: Find f(x) for the following function. -In x f(x) = 3/¹¹ a 01 3 02 O In x-2 Vn VE -2. (1 - ln x) In…

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Q: State the order of the given ordinary differential equation, and classify it as linear or…

A: Given: d. d5qdp5tan2q=p2q-qsin(p)eap e. -9sinh(at)=z'''-az't-2 f. r''=-a5x+rsinrx g.…

Q: g(x)=√3-x State the domain for the function and it's derivative using interview notation

A: We have to find the domain for the given function and it's derivative

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Use the Quotient Rule to find the derivative of the function. 5x - 8 23TOM YM x2 – 1 g(x) = g'(x) =…

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Q: Suppose utility function takes the following form: uz = u(c¿, m,, l;) = (c;m¿)'l&.

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Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

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Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: what is the derivative of f(x)= 12ex-121lnx

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Q: derivative for this function

A: The given question is taken from the calculus in which we have to find the derivative of the given…