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| Question 966459:  1. The tangent line to y = x + sin x at the origin is:
 2. What is the tangent line to f(x) = x^2 + 3x at (-2,-2)?
 3. On a circle of radius 5 find the x and y coordinates at angle 270 degrees (or 3pi/2 in radian measure).
 4. The tangent line to y = 3x - cos x at the (0, -1) is?
 5. What is the derivative of f(x) = (5x + 1)^2 at (2, 121)?
 6. What is the derivative of f(x) times g(x), if f(x) = sin (x) and g(x) =  x^2?
 7. What is the derivative of f(x) = (x^2 + 1)^2 at (2, 25)?
 8. Which function has the same slope as g(x)= 5x^4 + 2?
 Answer by Alan3354(69443)
      (Show Source): 
You can put this solution on YOUR website! 1. The tangent line to y = x + sin x at the origin is: y' = 1 + cos(x)
 @ x = 0 --> y = 2x
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 2. What is the tangent line to f(x) = x^2 + 3x at (-2,-2)?
 f'(x) = 2x + 3
 f'(-2) = -1
 ----
 --> y+2 = -1*(x+2)
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 3. On a circle of radius 5 find the x and y coordinates at angle 270 degrees (or 3pi/2 in radian measure).
 You have to specify the center or give the equation.
 =================================
 4. The tangent line to y = 3x - cos x at the (0, -1) is?
 Similar to #2
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 5. What is the derivative of f(x) = (5x + 1)^2 at (2, 121)?
 Don't enter so many problems.
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 6. What is the derivative of f(x) times g(x), if f(x) = sin (x) and g(x) =  x^2?
 7. What is the derivative of f(x) = (x^2 + 1)^2 at (2, 25)?
 8. Which function has the same slope as g(x)= 5x^4 + 2?
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