Question

If y=x3+5x and dx/dt=5, find dy/dt when x=2.

Answer 1

ok for this question i think im doing something wrong
i got the answer of 17 but this is not right
please help

Answer 2

can you find dy/dx of the given equation?

Answer 3

dy/dt=3x^2+5

Answer 4

when you take the derivative wrt to t
you should get a dx/dt term

Answer 5

u need to use chain rule
d/dt(5x) = 5 d/dx (dx/dt)

Answer 6

instead of d/dx x^3 = 3 x^2 dx/dx you do
d/dt x^3 = 3 x^2 dx/dt

Answer 7

if you think
\[ \frac{d}{dx} x= 1\]
think this
\[ \frac{ d}{dx} x= \frac{dx}{dx}= 1\]