Topics
Differentiation
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India
Class XI

First Principles

Lesson
Practice

Interactive practice questions

Consider the function $f\left(x\right)=3x+2$f(x)=3x+2.

a

Find $f\left(x+h\right)$f(x+h).

b

Find $f\left(x+h\right)-f\left(x\right)$f(x+h)−f(x).

c

Find $\frac{f\left(x+h\right)-f\left(x\right)}{h}$f(x+h)−f(x)h​.

Easy
2min

Consider the function $f\left(x\right)=8-x$f(x)=8−x.

Easy
1min

Consider the function $f\left(x\right)=2x-3$f(x)=2x−3.

Easy
1min

Consider the function $f\left(x\right)=-5x+4$f(x)=−5x+4.

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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