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1) Find the slope of the tangent line to the graph of f(x)=5x-x^2 at x=2. 2)Find

ID: 2845207 • Letter: 1

Question

1) Find the slope of the tangent line to the graph of f(x)=5x-x^2 at x=2.

2)Find the slope of the normal line to the graph of f(x)=x^2+x at x=1

3)Find the equation of the normal line to the graph of f(x)=x^3-x^2 at x=1

4)The derivative of f(x)=sqrt of x is

5)Find f(x) prime if f(x)=1/x .

6)Find f(x) prime if f(x)=4 (sqrt of x) +6x61/3

7)If f(x)=x^3 sqrt of x then f(x) prime is

8)Find the derivative of f(x)=(2x-1)/(x^2 +1) at x=1

9)Let f(x)=(x^2 +x) (5x-2). Find f '(1)

10)Find the derivative of x^-9

11)Find the drivative of y=3x^(2/3) -4x(1/2) -2

12)Let f(x)=x63 -12x+1. Find the values of x for which the derivative of f(x) is 0

13)Let f(x)=sqrt of x+1. Find f'(3)

14)Let f(x)=(x^2 +1)/(x+2). Find f '(0)

15)Let f(x)=(x^2 +x 1)/x. Find f '(1)

16)Let f(x)=(x^2 +x+1)/x. Find the slope of the tangent line at x=1

17)Let f(x)=(x^2 +x+1)/x. Find the equation of the tangent line at x=1

Explanation / Answer

1)1

2)-1/3

3) x+y=1

4)1/(2* sqrt x)

5)-1/x^2

6)2/sqrt of x

8)1/2

9)19