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1 of 8 0-day streak

Differentiate power functions and evaluate a derivative

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
differentiate, positive-integergradient-at-point, positive-integerNOWMix of allRecommended
Question 1 of 8

No calculator

Use the displayed function rule

\[p(x)=4\,x^{3} + 4\,x + 1\]

The target x-value is shown below

\[x=1\]
(a)4 marks

Find the derivative of the displayed function. Enter the coefficient and exponent for each derivative term in descending exponent order

(b)1 mark

Find the exact gradient when x has the displayed value