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If y=x2+7, differentiating y with respect to x gives
0.5x3+C, where C is an unknown constant.
x+C, where C is an unknown constant.
2x+7
2x
x+7
x=3cos(πt+2π3), find the value ofdxdtwhen t=1.0. Note the angle is measured in radians.
−0.86
1.5
−2.6
8.2
0
If y=6e2x, differentiating y with respect to x gives
6e2x
12ex
12e2x
6xe2
6xe2x
If y=2sin(2x+π), differentiating y with respect to x gives
2xcos(2x+π)
4cos(2x+π)
4xsin(2x+π)
4sin(2x+π)
4xcos(2x+π)
An arrow is fired which travels with vertical motion described by y=−5t2+10t. It hits a target at t=1.5s. Is the arrow ascending, or descending when it hits?
Ascending
Descending