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India
Class XI

Derivative of a polynomial (expansion then power rule)

Interactive practice questions

Consider the function $f\left(x\right)=\frac{4}{9}\left(-4x-8\right)$f(x)=49(4x8)

a

Expand $f\left(x\right)$f(x)

b

Now find the derivative function $f'\left(x\right)$f(x).

Easy
1min

Consider the function $y=\left(6x+5\right)\left(x+3\right)$y=(6x+5)(x+3).

Easy
1min

Differentiate $y=\left(3x+2\right)\left(7x+6\right)$y=(3x+2)(7x+6).

Easy
1min

We want to differentiate $y=2x^2\left(7x+2\right)$y=2x2(7x+2).

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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