Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the inverse function f-¹(y) at x = 4 and y = 3.

Q: Find the value of the derivative of the function f(x) = 2x³ - 5x² + 3x - 1 at x = 2.

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Q: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: Give the derivative of the function y = 3r²-2r-11.

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Q: 1 Find the derivative of (Vx-3x) x+= X

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Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: Use an iterated integral to find the area of the region bounded by 2x - 5y = 0, x+y=6, y = 0.

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