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India
Class XI

Key Features of Graphs and the Derivative

Interactive practice questions

Consider the function $y=4x-3$y=4x3.

a

Find the gradient function of $y=4x-3$y=4x3.

b

Hence graph the gradient function.

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Easy
1min

Consider the function $y=\left(x-5\right)^2-3$y=(x5)23 graphed below.

Easy
2min

Consider the function $y=-\left(x+7\right)^2+5$y=(x+7)2+5 graphed below.

Easy
< 1min

Consider the function $y=x^2-10x+29$y=x210x+29 graphed below.

Medium
< 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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