Online NAT IGS General Science Mathematics Test Preparation for Pakistani Students

NAT I General Science Mathematics

Sr. #	Questions	Answers Choice
1	If y = sin(ax + b) then fourth derivative of y with respect to x=	a<sup>4</sup> cos (ax + b) a<sup>4</sup> sin (ax + b) -a<sup>4</sup> sin(ax +b) a4 tan (ax + b)
2	Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a	Minimum Maximum Stationary point Constant
3	Derivative of strictly increasing function is always	Zero Positive Negative Both A and B
4	Second derivative of y = x⁹ + 10x² + 2x -1 at x = 0 is	10 20 12 1
5	d/dx [cos x²] =________	-2x cos x<sup>2</sup> -2x<sup>2</sup> sin x<sup>2</sup> x<sup>2</sup> sin x -2x<sup>2</sup> sin x<sup>2</sup>
6	If y = (ax)^m + b^m, then dy/dx equals	m (ax)<sup>m</sup> x<sup>m-1</sup> ma<sup>m</sup> x<sup>m-1</sup> m a<sup>m</sup> x<sup>m-1</sup> m a<sup>m</sup> x<sup>m-2</sup>
7	d/dx (3y⁴) =	12y<sup>3</sup> dy/dx 8y<sup>3</sup> 8y<sup>3</sup> dy/dx 12y<sup>3</sup>
8	d/dx (√x) =	2√x 1/√x 1/2√x None of these
9	d/dx a^x is	xa<sup>x-1</sup> a<sup>x</sup> x in a a<sup>x</sup> in a
10	If x² +y² = 4, Then dy/dx =	2x +2y 4 -x<sup>2</sup> -x/y y/x