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To solve the problem, we will have to find the maximum common denominator (mcd). We decompose the denominator of every fraction obtaining, 2=2; 3=3; 4=2²; 6=2x3. Now, we take the common factors...

Using the implicit form derivative rule: y'=-F_x' / F_y' :

y'=-(2 x sin(x+y)+x² cos(x+y)-5 y e^x) / (x² cos(x+y)-5 e^x)

You must apply the chain rule whenever you see a function contained within another function. For example, if you were to differentiate (sin x)²  you would apply the chain rule as the sin functi...

Step 1- Get all the numbers on one side of the inequality sign and all the letters on the other side. Remember when a number is moved to the other side of an inequality, the sign infront changes from eith...

Let's answer the question by solving an example:

Take (8x² * 5x⁴ * 2y³)/(20x³). Firstly, let's take a look at the first bracket and rearrange it so we ha...