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# maths c1 differentiation watch

1. 8x-1 ... how do i differentiate with respect to x?
2. write as 8x1 -1x0

then apply the rules for differentiating axn
3. (Original post by caitlindavies)
8x-1 ... how do i differentiate with respect to x?
Differentiate each term with respect to x.

How do you differentiate the general term ax^n, where a and n are numbers, with respect to x?
4. (Original post by caitlindavies)
8x-1 ... how do i differentiate with respect to x?
Times by the power and then take one away from the power.
For example 16x^2 would be 32x. You're timesing by the power (2) and then taking one away from the power (2-1).

Hope that makes it clearer as to how to do your question.

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5. (Original post by caitlindavies)
8x-1 ... how do i differentiate with respect to x?
Is that 8/x ?

Use the rule for ax^n ... d/dx =
6. d/dx[axn] = naxn-1
7. (Original post by ultimatesword)
Times by the power and then take one away from the power.
For example 16x^2 would be 32x. You're timesing by the power (2) and then taking one away from the power (2-1).

Hope that makes it clearer as to how to do your question.

Sent from my LG-D855 using Tapatalk
but there is no power?
8. (Original post by caitlindavies)
but there is no power?
There is, it's just 1 and 0.

1 is 1x^0. remember that power of 0 makes 1.
9. for example, y = 10x + 2
if you differentiate y with respect to x, you'd get dy/dx = 10
10. (Original post by Raees_Sharif)
for example, y = 10x + 2
if you differentiate y with respect to x, you'd get dy/dx = 10
so does the answer to 8x-1 dy/dx + 8?
11. (Original post by caitlindavies)
so does the answer to 8x-1 dy/dx + 8?
if you meant '=' when you said '+' you are correct.
12. (Original post by Raees_Sharif)
if you meant '=' when you said '+' you are correct.
yeah i did woah thank you that makes sense now!!
13. (Original post by caitlindavies)
but there is no power?
everything has a power, but people don't usually write the power if the value is to the power of 1.

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