In the above figure first derivative (f’(x)) of the function y = f(x) at point P will be equal to

sin $(ψ)$

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cos $(ψ)$

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tan $(ψ)$

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None of the above

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Solution

The correct option is C
tan $(ψ)$

We know that the first derivative of a function at any point is equal to the slope of the tangent drawn to the curve at that point. We also know that the slope of a straight line is tan $(θ)$ , if the angle made by the line with the positive side of x -axis is $θ$ .

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In the above figure first derivative (f’(x)) of the function y = f(x) at point P will be equal to

The correct option is C tan(ψ) We know that the first derivative of a function at any point is equal to the slope of the tangent drawn to the curve at that point. We also know that the slope of a straight line is tan (θ), if the angle made by the line with the positive side of x -axis is θ.