If $y = 3e^x \\sin x$, find $\\frac{dy}{dx}$.

University of Ilorin MTH102 integral past question

1. $3e^x \\cos x$
2. $3e^x \\sin x + 3e^x \\cos x$
3. $3e^x \\sin x$
4. $3e^x \\cos x - 3e^x \\sin x$

Register free to see the answer and step-by-step explanation

More University of Ilorin MTH102 integral past questions

Related questions

• Evaluate the definite integral $\\int_{2}^{5} 6x^3 dx$.
• If $y = (3x^2 - \\cos x)^2$, find $\\frac{dy}{dx}$.
• Evaluate $\\lim_{x \\to 0} \\frac{\\sin 2x}{4x}$.
• Find $\\frac{dy}{dx}$ for the polynomial $2x^4 - 7x^3 + 4x^2 + 3x - 4$.
• Evaluate the indefinite integral $\\int 4 dt$.
• Differentiate $y = 3e^x \\sin x$.