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If f(x) = 2/x, then what is the slope of f(x) at x = 2? Round your answer to 3 decimal places.

User Reaanb
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1 Answer

2 votes

Answer: -0.500

Explanation:

If we're given a function, to find the slope of the function at a particular point, we have to first find the derivative of that function by differentiating once with respect to x and imputing the given value of x in our derivative.

To get the slope of f(x), we find the derivative of the function and input our value of x in the derivative.

Remember if f(x)=kx^n,

then, f'(x) = derivative of f(x) = k* n* x^n-1

F(x)= 2[x^-1]

F'(x) = 2*( -1)* [x^-2]

F'(x) = -2/x²

At x=2,

F'(x) = -2/2² = -2/4 = -0.500(3d.p.)

User Ceri Turner
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