Class XI

Further derivatives using power rule

Lesson

Practice

Interactive practice questions

Determine the derivative of $y=\frac{-2}{x^5}$y=−2x5.

Easy

1min

Differentiate $y=18x\sqrt{x}$y=18x√x. Leave your answer in surd form.

Easy

2min

Differentiate $y=\frac{14}{x\sqrt{x}}$y=14x√x. Express your answer in positive index form.

Easy

2min

Differentiate $y=\frac{2}{\sqrt{x}}$y=2√x, giving your final answer in surd form.

Easy

2min

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.

Further derivatives using power rule

Interactive practice questions

Outcomes

11.C.LD.1

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