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India
Class XI

Product Rule

Interactive practice questions

Differentiate the function $f\left(x\right)=\left(3x-2\right)\left(4x-5\right)$f(x)=(3x2)(4x5).

You may use the substitution $u=3x-2$u=3x2 and $v=4x-5$v=4x5 in your working.

Easy
2min

We want to differentiate $y=x^6\left(x^4+4\right)$y=x6(x4+4) using the product rule.

Let $u=x^6$u=x6 and $v=x^4+4$v=x4+4.

Easy
3min

We want to differentiate $y=x^3\left(x^2+9\right)$y=x3(x2+9).

Easy
5min
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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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