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This is an example of a question where we would have to use the product rule for differentiation, because we have two functions multiplied together ( x and ln(2x) ).If we have: y = uv, where u and v are f...

Y=(x+5)(x+3) ............(1)The above expression on the right is a product of two expressions,Hence, product rule differentiation method will be employed as stated below:Y(u,v)=U(x).V(x) .........(2)dy/dx...

We can use integration by parts to solve this question. If we look at the formula for Integration by parts: ∫u(dv/dx)dx = uv - ∫ v (du/dx) dx, we see that u must be multi...

First substitute x = -1 into the equation for the line to find the coordinates at the point where x = -1y = -3+2-1 = -2Next differentiate to find dy/dxdy/dx = 9x²+4xSubstitute x = -1 to find th...

Given the problem f(x)=(y+x)^5 we use the chain rule as a tool to find the derivative. However, it is difficult to use effectively in further problems without understanding the mechanics of the function. ...