QCEVault

Differentiation of exponential and logarithmic functions — Question 76

Original QCE Vault practice · 2 marks

Q76 · Practice questionTechnology-freeSimple familiar2 marks

QUESTION 76 (2 marks)

Differentiate y=xe2xy=xe^{2x}.
Question linkSyllabus coverage

Related questions

  1. Q1 · Original practice · 1 mark
    If f(x)=e2xf(x)=e^{2x}, then f′(x)f'(x) is
    Differentiation of exponential and logarithmic functions
  2. Q11 · Original practice · 1 mark
    If g(x)=ln⁡(3x2+1)g(x)=\ln(3x^2+1), then g′(x)g'(x) is
    Differentiation of exponential and logarithmic functions
  3. Q21 · Original practice · 1 mark
    For f(x)=xln⁡xf(x)=x\ln x, determine the equation of the tangent at x=ex=e.
    Differentiation of exponential and logarithmic functions
  4. Q26 · Original practice · 2 marks
    Let f(x)=ln⁡(2x+1)f(x)=\ln(2x+1). Determine f′(x)f'(x) and hence the gradient of the tangent at x=2x=2.
    Differentiation of exponential and logarithmic functions