CBSE · Class 6-12

Class 12 · Mathematics (041)

Unit 6 · Class 12Mathematics (041)

Calculus

Applications of Derivatives

Rate of change, tangents and normals, increasing/decreasing functions, maxima and minima.

Lessons

4 concepts

1
Rate of Change
$\dfrac{dS}{dt}$ interprets as the rate of change of $S$ w.r.t. $t$ .
2
Tangent & Normal
Slope of tangent at $(x_0, y_0)$ is $f'(x_0)$ ; slope of normal is $-1/f'(x_0)$ .
3
Increasing / Decreasing
$f' > 0$ on $(a, b)$ $\Rightarrow$ $f$ is increasing there.
4
Maxima & Minima
Critical points where $f' = 0$ or $f'$ undefined; classify using $f''$ .

Skills to practise

Skill · medium

Applications of Derivatives — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.