Q274 · Practice questionTechnology-freeSimple familiar3 marks
QUESTION 274 (3 marks)
For ,
a)[1 mark]
Determine .
b)[2 marks]
Determine the exact equation of the tangent at .
WORKED SOLUTION
3 marksPractice marking scheme
ANSWER
a) . b) .
Worked solution
a) Differentiate each term to obtain .
b) At , the gradient is and . Thus , or .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Gives the derivative.
b) Finds the gradient and point.
b) Determines the tangent equation.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.