Question

Calculus help?

Answer 1

@jim_thompson5910 @welshfella @robtobey @agent0smith

Answer 2

@Loser66

Answer 3

Anyone?

Answer 4

I'd start by finding the slope dy/dx at the given point.

Answer 5

3cos x?

Answer 6

Okay... I'd start by carefully reading the question again. And then read my post above.

Answer 7

not sure can you explain?

Answer 8

Explain what...?

Answer 9

So, the equation:
\[\frac{ dy }{ dx }=3\sin(x)\]
Given the value of x, then dy/dx equals 3sin(x) at that particular point of x. For example, when x=16, then at the point where x=16, the gradient of y which is dy/dx=3sin(16). At the coordinate of the point on the graph where x=16 is (16, y(16)). The thing is, we don't know what y explicitly is, but we can tell what the gradient of y is at any point! Does that make better sense?