The maximum slope of the curve y = -x^3 + 3x^2 + 9x - 27 is: Option 1: 0 Option 2: 12 Option 3: 16 Option 4: 32

The answer is '12'. View full solution:

CUET Mathematics - The maximum slope of the curve y = -x^3 + 3x^2 + 9x - 27 is: | PYQs + Solutions

16 May Shift 1

$f(x)=\sin x+\frac{1}{2} \cos 2 x \text { in }\left[0, \frac{\pi}{2}\right]$

(A) $f^{\prime}(x)=\cos x-\sin 2 x$

(B) The critical points of the function are $x=\frac{\pi}{6}$ and $x=\frac{\pi}{2}$

(C) The minimum value of the function is $2$

(D) The maximum value of the function is $\frac{3}{4}$

Choose the correct answer from the options given below :

22 May Shift 3

The value of C, in Rolle's theorem for the function $f(x) = e^x \sin x$ , when $x \in [0, \pi]$ is :

6 Aug Shift 2

The line $ax + by = 7$ is a tangent to the curve $y = \frac{x-7}{(x-2)(x-3)}$ at the point where it cuts the x-axis

A. The y-intercept of the line is $-0.7$

B. $b = -7$

C. $a = 1$

D. the line passes through the point $(-13, -1)$

E. $b = -20$

Choose the correct answer from the options given below: