Find the $$\(x\)$$-coordinates of the points on the graph of $$\(y=x^{5}-5 x^{4}\)$$ where the gradient is 0. .............................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s21_qp_23 Year:2021 Question No:25

Answer:

0 and 4 final answer

Knowledge points:

E2.13.1 Understand the idea of a derived function.
E2.13.2
E2.13.3 Apply differentiation to gradients and turning points (stationary points).
E2.13.4 Discriminate between maxima and minima by any method.
E2.2.1 Manipulate directed numbers.
E2.2.2 Use brackets and extract common factors.
E2.2.3 Expand products of algebraic expressions. (e.g. expand (x + 4)(x – 7)) (Includes products of more than two brackets, e.g. (x + 4)(x – 7)(2x + 1))
E2.2.4.1 ax+bx+kay+kby
E2.2.4.2 more contents
E2.2.4.3 more contents
E2.2.4.4 more contents

Solution:

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