# calculas

consider the following.
Function
y = cos 3x
point (pi/4, -square root of 2/2)

(a) Find an equation of the tangent line to the graph of f at the given point. (Let x be the independent variable and y be the dependent variable.)

asked by Sagar
1. first, find the slope of the tangent line anywhere:

y' = -3sin(3x)
so, at x=π/4, y = -3sin(3π/4) = -3/√2

Now you have a point and a slope, so the line is

y + 1/√2 = -3/√2 (x - π/4)

posted by Steve

## Similar Questions

1. ### 7th grade math Ms. Sue please

2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? (1 point) 1 foot 2 feet 3 feet 4 feet 3. Which of these numbers can
2. ### math

Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: it should be between square root 25 and square
3. ### Math

Four students work to find an estimate for square root 27. Who is closest to finding the true estimate? (1 point) Chelsey: "Use square root 16 and square root 25 to estimate." Carley: "I use square root 25 and square root 36."
4. ### math

Four students work to find an estimate for square root 54. Who is closest to finding the true estimate? (1 point) Rhonda: "Use square root 16 and square root 25 to estimate." Ricardo: "I use square root 25 and square root 36."
5. ### Math

1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9."
6. ### find dy/ds

y = s*square root of(1-s^2) + cos inverse(s) Just give me some hints and I will do it. Thanks. You have y = s*square root of(1-s^2) + cos inverse(s) which I would write as y = s*sqrt(1-s2) + cos-1(s) and you want dy/ds For the
7. ### MATH

1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9."
8. ### trigonometry

find the exact values of s in the given intervals that have the given circular function values. 1. [pi/2,pi]; sin s=square root 2/2 2. [pi/2,pi]; cos s=-square root 3/2
9. ### 7th grade math Ms. Sue ASAP please

Ms. Sue, sorry to keep bugging you with questions, but can you please check my answers? Sorry, I just want to get my answers correct when i turn it in thanks! 8. Four students work to find an estimate for square root 37. Who is
10. ### algebra

1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong---> - square root of six is not a solution Hope this Helps! 1)find p(-3)if p(x)=4x^3-5x^2+7x-10 =-184 2)If

More Similar Questions