PRASHNIKAप्रश्निका
‹ Back to the paper

Let . The following diagram shows the graph of . The -intercept is at and intersects -axis at C and…

Mathematics20256 marksLong answer
Let $f(x) = \cos x + \sqrt{3}\sin x, 0 \le x \le 2\pi$. The following diagram shows the graph of $f$. The $y$-intercept is at $(0, 1)$ and intersects $x$-axis at C and D. There is a minimum point at $A(p, q)$ and a maximum point at B. Based on the above information, answer the questions that follow.
Figure for this question
(a)
Write $f'(x)$ in the form of $\lambda\cos(x+\mu)$.
(b)
Find the value of $q$.
(c)
Find the coordinate of the point B.
(d)
Find the interval $f(x)$ is decreasing.
(e)
Find the slope of the tangent to the curve at D.
(f)
Find the slope of the normal to the curve at C.

Answer

No answer yet.

Applications of Derivatives

From ISC 2025 Practice Mathematics, question 132.