Оюутнуудад зориулав.

1. DERIVATIVES
Теsт 1

2. 1. Find the derivative of the function y=3x2+5x+6.
A) 6x+5 B) 3x+5 C) 6x+6 D) 5x+6 E) 8x+6
2. What is the derivative of f(x)=sin3x+cos5x?
А. cos3x-sin5x B) 3cos3x-5sin5x C) 3cos3x+5sin5x
D) sin3x-cos5x E) 3sin3x+5cos5x
3. Find the equation whose is tangent of f(x) =2ln(x-1) at point x=3.
A) y=x-3 B) y=2/ln(2/(x-1)) C) y=-x-3 D) y=x+2ln2
E) y=x-3+2ln2
4. f(x)=4x2-2x-40 is given. f’(3)=?
A) 98 B) 106 C) 48 D) 36 E) 22
5. f(x)=5x3 is given. f’(2)=?
A) 60 B) 54 C) 49 D) 69 E) 80

3. 6. f(x)=4Sin3x is given. f’(x)=?
A) 12Cos3x B) –4cos3x C) 6cos3x D) 12cosx E) –4cosx
7. Find the equation whose is tangent to the f(x)=2x2-1 is at x0=0.
A) f(x)=3x B) f(x)=-1 C) f(x)=2 D) f(x)=x+1 E) f(x)=1-x
8. Find the max. and min. values of where x[-2.1/2].
A) 2,5;-2,5 B) 4;-3 C) 2;-1/4 D) 3; 1/2 E) 9;-3
9. Find the extreme point of the function x2+x-2.
A) x=2 max point B) x=0 min point C) x=-1/2 min point
D) x=-1/2 max point E) x=1 max point
10. Find the derivative of y=5lnx-x2.
1x
x

x
x
xf
1
)(


x
x
Ex
x
Dx
x
Cx
x
B
x
A 2
5
)2
5
)2
5
)
5
)2
3
) 

