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India
Class XI

Power Rule (x^n)

Interactive practice questions

Consider the function $f\left(x\right)=x^n$f(x)=xn, where $n$n is any positive integer.

Complete the following table. (Use the ^ key to create powers).

$f\left(x\right)$f(x) $f'\left(x\right)$f(x)
$x$x $\editable{}$
$x^2$x2 $\editable{}$
$x^3$x3 $\editable{}$
$x^4$x4 $\editable{}$
$x^n$xn $\editable{}$
Easy
1min

Determine the derivative of $y=-6$y=6 with respect to $x$x.

Easy
< 1min

Determine the derivative of $y=x^7$y=x7.

Easy
< 1min

Determine the derivative of $y=x^{-7}$y=x7.

Easy
< 1min
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Outcomes

11.C.LD.1

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

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