1) Let f(x)=x^2 square root of 2x+2. Give f \'(1). 2) h(x)=f(x)/g(x) +3. Find h

ID: 2846238 • Letter: 1

Question

1) Let f(x)=x^2 square root of 2x+2. Give f '(1).

2) h(x)=f(x)/g(x) +3. Find h '(2), given that f(2)=6, f '(2)=3, g(2)=1, g '(2)=-1

3)If f(x)= (x^2 +1)^4 , find f '(0).

4)If f(x)= cos^2 (2x) , find f '(pi/3)

5)If f(x)=xsin(5x), find f '(0)

6)If f(x)=xsin(5x), find f ''(0)

7)f(x)=4x+cot(x)+tan(x) ; find f '(pi/4)

8)If x^2 + xy +y^2 =7, find the value of dy/dx at the point (1, 2)

9)If x^2 +xy +y^2 =7 , find the slope of the tangent line at the point (1, 2); also find the slope of the normal line.

10)If x^2 y +2y^2 =1 , find the equation of the tangent line and normal line at the point (1, -1)

11)A stone is dropped from a certain height and it hits the ground at 640ft/sec. What was the initial height?

1. f'(x) = (x (5 x+4))/(sqrt(2) sqrt(x+1)), f'(1)=9

2. h'(x) = (g(x) f'(x)-f(x) g'(x))/g(x)^2

h'(2)=(3+6)=9

3. f?(x)=8x(x2+1)3; f'(0)=0

4. f?(x)=?2sin(4x)

f?(pi/3)=sqrt(3)?1.73205

5. f'(x) = sin(5 x)+5 x cos(5 x), f'(0)=0

6.f??(x)=5(2cos(5x)?5xsin(5x)), f"(0)=10

7. f'(x) = -csc^2(x)+sec^2(x)+4, f'(pi/4)=4

8. y'(x) = -(2 x+y)/(x+2 y) in point (1,2) =-4/5

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