Differentiate `y = 2e^(−3x)` with respect to `x`. (1 mark)
Calculus, MET1 2013 VCAA 1b
Let `f(x) = e^(x^2)`.
Find `f prime (3)`. (3 marks)
Calculus, MET1 2020 VCAA 1b
Evaluate `f′(1)`, where `f: R -> R, \ f(x) = e^(x^2 - x + 3)`. (2 marks)
Calculus, MET1-NHT 2018 VCAA 1a
Let `f(x) = (e^x)/((x^2 - 3))`.
Find `f′(x)`. (2 marks)
Calculus, MET1-NHT 2019 VCAA 1a
Let `y = (2e^(2x) - 1)/e^x`.
Find `(dy)/(dx)`. (2 marks)
Calculus, MET1 2018 VCAA 1b
Let `f(x) = (e^x)/(cos(x))`.
Evaluate `f′(pi)`. (2 marks)
Calculus, MET1 2008 VCAA 1b
Let `f(x) = xe^(3x)`. Evaluate `f′(0)`. (3 marks)
Calculus, MET1 2015 ADV 11e
Differentiate `(e^x + x)^5`. (2 marks)
Calculus, MET1 2007 ADV 2ai
Differentiate with respect to `x`:
`(2x)/(e^x + 1)` (2 marks)
Calculus, MET1 2009 ADV 2a
Differentiate `(e^x + 1)^2` with respect to `x`. (2 marks)
Calculus, MET1 2016 VCAA 1b
Let `f(x) = x^2e^(5x)`.
Evaluate `f′(1)`. (2 marks)
Calculus, MET2 2009 VCAA 7 MC
For `y = e^(2x) cos (3x)` the rate of change of `y` with respect to `x` when `x = 0` is
- `0`
- `2`
- `3`
- `– 6`
- `– 1`
Calculus, MET1 2010 VCAA 1a
Differentiate `x^3 e^(2x)` with respect to `x`. (2 marks)