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India
Class XI

Gradients of tangents

Interactive practice questions

Consider the function $f\left(x\right)=1$f(x)=1 shown here.

If we were to draw a tangent to the function for any $x$x value, what is the gradient of that tangent?

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Easy
< 1min

Consider the function $f\left(x\right)=2x-4$f(x)=2x4 shown here.

If we were to draw a tangent to the function for any $x$x value, what is the gradient of that tangent?

Easy
< 1min

What is the gradient of the tangent at the given point?

Easy
< 1min

What is the gradient of the tangent at the given point?

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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