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Application Of Derivatives

Question
CBSEENMA12035066
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Find the slope of the tangent to the curve y = x3 – 3x + 2 at the point whose. x-coordinate is 3. 

Solution

The equation of curve is
                    y = x3 – 3x + 2
therefore space space dy over dx space equals space 3 straight x squared minus 3 comma space space space space which space is space slope space of space tangent space to space the space curve At space straight x space equals space 3 comma space space dy over dx space equals space 27 minus 3 space equals space 24 which space is space required space slope space of space tangent space to space the space curve.

Some More Questions From Application of Derivatives Chapter

The radius of a circle is increasing uniformly at the rate of 4 cm per second Find the rate at which the area of the circle is increasing when the radius is 8 cm.

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