Use the product rule to differentiate y=2xsinx
The product rule states that y=uv and dy/dx=(u)dv/dx + (v)du/dx. As the equation is in this form we can let u=2x and v=sinx. Therefore du/dx=2 and dv/dx=cosx. Substituting for u and v we get dy/dx=(2x)(cosx) + (sinx)(2) so dy/dx=2(xcosx + sinx).
GK
Related Maths A Level answers
All answers ▸y=20x-x^2-2x^3. Curve has a stationary point at the point M where x=-2. Find the x coordinate of the other stationary point of the curve and the value of the second derivative of both of these point, hence determining their nature.
Find the equation of the tangent to the curve y^3 - 4x^2 - 3xy + 25 = 0 at the point (2,-3).
Solve the following equation by completing the square: x^2 + 6x + 3 = 0.
Why is the derivative of inverse tan(x) 1/(1+x^2)?