Show that $\cos(x+h)=\cos x-h \sin x-\frac{h^{2}}{2!… |

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Show that $\cos(x+h)=\cos x-h \sin x-\frac{h^{2}}{2!… | | Notely

Q5Short4 marks2023 · Annual

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\cos(x+h)=\cos x-h \sin x-\frac{h^{2}}{2!} \cos x+\frac{h^{3}}{3!} \sin x+\dots

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2.8Higher-Order Derivatives and the Leibniz Rule

2.8 Exercise 2.8

Learning outcomeM-12-A-36Sign in for progress

State, prove and apply the constant rule, the coefficient rule, the power rule, the sum and difference rule, the product rule, the quotient rule for differentiation.

Learning outcomeM-12-A-37Sign in for progress

Extend the power rule to functions with negative exponents.