Search over 10,000 free study notes

We must firstly understand that the tangent at point P is linear, and we must use y = mx +c format for the equation. To calculate the equation we need to find the unknowns m and c. To find the unknown m w...

Completing the square refers to the process of rewriting a general quadratic expression into the form of a(x+b)² + c.For example we are asked ...

We can use substitution for this one. Take y=ln(x) to be equal to y= 1 x ln(x)Set u=ln(x) and dv/dx=1Compute du/dx and v:du/dx=1/x and v=xUse given formula - ∫ udv/dx dx = uv - ∫ vdu/dx dx= xln(x) - ∫ x/x...

a²=b²+c²

We can differentiate the terms separately:
The first term e^10x can be differentiated using the chain rule.
Let u = 10xWe can differe...