Determine the average gradient of the curve \(f(x)=x\left(x+3\right)\) between \(x=5\) and \(x=3\).
\(\text{11}\)
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Exercise 5.8
Hence, state what you can deduce about the function \(f\) between \(x=5\) and \(x=3\).
Solution not available at present
\(A\left(1;3\right)\) is a point on \(f(x)=3{x}^{2}\).
Draw a sketch of \(f(x)\) and label point \(A\).
Determine the gradient of the curve at point \(A\).
\(\text{6}\)
Determine the equation of the tangent line at \(A\).
\(y = 6x - 3\)
Given: \(g(x) = -x^2 + 1\).
Draw a sketch of \(g(x)\).
Determine the average gradient of the curve between \(x=-2\) and \(x=1\).
\(\text{1}\)
Determine the gradient of \(g\) at \(x=2\).
\(\text{4}\)
Determine the gradient of \(g\) at \(x=0\).
\(\text{0}\)
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