Differentiation of trigonometric functions and differentiation rules — Question 22

Original QCE Vault practice · 1 mark

Q22 · Practice questionTechnology-freeComplex familiar1 mark

QUESTION 22

For

f(x)=\dfrac{\sin x}{1+\cos x}

, where defined,

f'(x)

simplifies to

(A)

\frac{1}{1-\cos x}

(B)

\frac{1}{1+\cos x}

(C)

\frac{\cos x}{1+\cos x}

(D)

\frac{\sin x}{(1+\cos x)^2}

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

The quotient rule gives

[\cos x(1+\cos x)+\sin^2x]/(1+\cos x)^2=(1+\cos x)/(1+\cos x)^2

Selects the correct option.

[1 mark]

Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.