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Question:
At an extreme point of a function $f (x)$, the tangent to the curve is
At an extreme point of a function $f (x)$, the tangent to the curve is
Updated On: Jun 2, 2023
- parallel to the x-axis
- perpendicular to the x-axis
- inclined at an angle $45^{\circ}$ to the x-axis
- inclined at an angle $60^{\circ}$ to the x-axis
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The Correct Option is A
Solution and Explanation
At an extreme point of a function $f (x)$, slope is always zero.
Thus, At an extreme point of a function $f (x)$, the tangent to the curve is parallel to the $x$-axis.
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Concepts Used:
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Mathematically, a limit is explained as a value that a function approaches as the input, and it produces some value. Limits are essential in calculus and mathematical analysis and are used to define derivatives, integrals, and continuity.
Limits Formula:
Derivatives of a Function:
A derivative is referred to the instantaneous rate of change of a quantity with response to the other. It helps to look into the moment-by-moment nature of an amount. The derivative of a function is shown in the below-given formula.
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