NZ Level 7 (NZC) Level 2 (NCEA)
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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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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?

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

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

Outcomes

M7-10

Apply differentiation and anti-differentiation techniques to polynomials

91262

Apply calculus methods in solving problems

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