Differentiate y=3xe^{3x^2}+2x
We differentiate y with respect to x:Firstly, we apply the Chain rule in the fist part of the RHS. Remembering the chain rule is uv -> u'v+uv', so d(3xe^{3x^2})/dx=3e^{3x^2}+18x^{2}e^{3x^2}now, we simply differentiate 2x to 2.Now combining our results:dy/dx = 3e^{3x^2}+18x^{2}e^{3x^2} + 2
Typically 4/5 marks for AS-level papers.
JA
Related Maths A Level answers
All answers ▸Find the roots of this equation: y=(8-x)lnx
Find the indefinite integral ∫(x^2)*(e^x) dx (Edexcel C4 June 2013 Question 1)
integrate 5x^2 + x + 2 and find the value of c if the curve lies on the coordinates (1,3)
The polynomial f(x) is define by f(x) = 3x^3 + 2x^2 - 8x + 4. Evaluate f(2).