Answer to Question #177573 in Differential Geometry | Topology for John

Question

y= x^3 - x^2 + x + 5, find  dy/dx.

y=4x^3 + 7x^2 - 4x + 8, find  dy/dx.

s=17t^3 - 5t^2 - 5t - 3, find  ds/dt.

Answer 1

$dy/dx = \frac d{dx}(x^3 - x^2 + x + 5) = 3x^2 -2x + 1$

$dy/dx = \frac d{dx}(4x^3 + 7x^2 - 4x + 8) = 12x^2 + 14x - 4$

$ds/dt = \frac d{dt}(17t^3 - 5t^2 - 5t - 3) = 51t^2 - 10t - 5$