Differentiation

New Zealand

Level 7 - NCEA Level 2

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

Easy

Less than a minute

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

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

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

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