Class XI

Tangents (gradients and equations using power rule)

Lesson

Practice

Interactive practice questions

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

Easy

< 1min

By considering the graph of $f\left(x\right)=-3x$f(x)=−3x, find $f'$f′$\left(-2\right)$(−2).

Easy

< 1min

Consider the parabola $f\left(x\right)=x^2+3x-10$f(x)=x2+3x−10.

Easy

4min

Consider the curve given by the function $f\left(x\right)=x^3+5x$f(x)=x3+5x.

Easy

2min

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.

Tangents (gradients and equations using power rule)

Interactive practice questions

Outcomes

11.C.LD.1

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