SOLUTION: 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 a

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
=============================
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)
============================
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
=========================
5. What is the derivative of f(x) = (5x + 1)^2 at (2, 121)?
Don't enter so many problems.
================
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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