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India
Class XI

Evaluate Derivative at a point

Interactive practice questions

Find $f'\left(2\right)$f(2) if $f'\left(x\right)=4x^3-3x^2+4x-6$f(x)=4x33x2+4x6.

Easy
1min

Find $f'\left(4\right)$f(4) if $f'\left(x\right)=\frac{\left(x^2-6\right)\times\left(2\right)+\left(2x\right)\left(2x\right)}{\left(x^2-6\right)^2}$f(x)=(x26)×(2)+(2x)(2x)(x26)2.

Easy
1min

By considering the graph of $f\left(x\right)=-6$f(x)=6, find $f'\left(4\right)$f(4).

Easy
< 1min

By considering the graph of $f\left(x\right)=2x$f(x)=2x, find $f'$f$\left(-5\right)$(5).

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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