4 years ago

For f(x)=x^5-x^3 x what is the equation of the tangent line at x=3?

1 answer:

7 0

F(x) = x^5 - x^3 + x
f'(x) = 5x^4 - 3x^2 + 1
f(3) = (3)^5 - (3)^3 + 3 = 243 - 27 + 3 = 219
f'(3) = 5(3)^4 - 3(3)^2 + 1 = 5(81) - 3(9) + 1 = 405 - 27 + 1 = 379

Let the required equation of the tangent line be
y = mx + c; where y = 219, m = 379, x = 3
219 = 379(3) + c = 1,137
c = 219 - 1,137 = -918

Therefore, required equation is
y = 379x - 918

You might be interested in

A bag contains 10 blue, 6 green, and 4 red marbles. You choose one marble. Without putting it back, you choose a second marble.

Gelneren [198K]

P green and blue 3/20

5 0

4 years ago

Can you help me solve x-1<-1 or 8x+9≥41

Elza [17]

For the first one:
x-1<-1
Add one on both sides.
x<0

For the second one:
8x+9≥41
Subtract nine on both sides.
8x+≥32
Divide by eight on both sides.
x≥4

HOPE THIS HELPS YOU! ^_^

3 0

3 years ago

Read 2 more answers

Eli buys 8 gigabytes of memory for his computer he spends 392. whatbis the cost of 1 gigabyte memory

kotykmax [81]

If Eli spends $392 for 8 gigabytes of memory, then $8g=392$ , where g is a gigabyte of memory. All you have to do is to reduce the equation. In this case, divide both sides by 8 to get $g=49$ . So the cost of 1 gigabyte of memory is $49.