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Application Of Derivatives

Question

For the curve y = 3x² + 4 x , find the slope of the tangent to the curve at the point whose x-coordrnate is – 2.

Solution

The equation of curve is
y = 3x² + 4 x
$therefore space space space space dy over dx space equals space 6 straight x plus 4 comma space space which space is space slope space of space tangent space to space the space curve$
At x = 2, $dy over dx space equals space 6 left parenthesis negative 2 right parenthesis plus 4 space equals space minus 12 plus 4 space equals space minus 8$
which is required slope of tangent to the 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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Application Of Derivatives

For the curve y = 3x² + 4 x , find the slope of the tangent to the curve at the point whose x-coordrnate is – 2.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Application Of Derivatives

For the curve y = 3x2 + 4 x , find the slope of the tangent to the curve at the point whose x-coordrnate is – 2.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

For the curve y = 3x² + 4 x , find the slope of the tangent to the curve at the point whose x-coordrnate is – 2.