How to differentiate equations.

Hello, lovely fans. We are asked to find the derivatives of y equals eight x squared of four. and y equals 20 times x squared of 10 plus 4 times x squared of 3 plus 5 with respect to x, okay, that is with With respect to x, first of all we'll start from the smallest so that you can understand What differentiation is all about—let's go through that solution. Solution, okay? First of all, we Let's do number one, which is a: they say that our y is equal to 8x raised to the power of 4. Now they ask us to differentiate y with respect to x. Whenever they say differentiate, just know It was the y with respect to what the x just wrote that the y the x, okay? Now this is equal. That's very easy, it's very easy because all you need to do is four, that is the power of your times eight, so you're going to have eight times four here, okay? Then write your x for them, write. Your x for them again, then this four you have here, subtract one from it. Do you understand what? I did four times eight, four times eight, okay. Write your X for them. Write your X for them. then four minus what one—that's all I did, okay? Now that you've done that, go ahead and solve this. So it means that y over x equals x times four, and that is what 32; you write your x for them. Four minus one is three, and that is your answer. You say, "I thought it's a very easy something." Now I want you to use this now we're going to use this now to solve what a more a more it's not even The more difficult ones are just adding more numbers here, so let's solve the second one, so which one is this? We have that y is equal to 20x raised to the power of 10 plus 4x raised to the power of 3. plus 5, okay, so as usual, you do your y over x is equal to, okay, the y over x is Equal to 10 times 20, right? 20 times 10, like I said. You write your x for them, then you subtract. One from 10 again, 10 minus one, you're through with this one plus you have four and three three. we multiply this four seven, you have four times three, okay, then you write your x again, raise the power of words three minus one you understand four times three you write your four times you Write your x, then write your three and subtract one; that is it. Plus, but once you have a constant. The derivative of x with respect to any constant is zero, because this is a constant, since it is five. has no variable at all, neither x nor y, so since it's just five you differentiate it, you're going to get zero; differentiation of 10 is zero; differential of One is zero point three of 20, which is zero. Once it doesn't have any x or y, we are going to have plus zero. So, we are going to solve this now. We have that y over x is equal to 20 times 10. We write our X again: 10 minus 1, we get what? Nine. You write your name. plus four times three gives us what 12 you write your 12 write x three minus one we give us what Two, this one is zero now, okay? So you notice that the y, the x of this one we give you 200 x. of nine plus 12 x raised to the power of two, if this is the first time you are coming across my channel Please subscribe so that you'll be notified whenever I upload something. Like this, have a lovely day and bye