<caption><image_0>The image shows a man standing in front of a whiteboard and writing on it with a marker. He is wearing a black shirt and glasses and appears to be in the middle of a lesson or assignment. The whiteboard is blank and the man is writing in black chalk. The background is blurred, but it seems like the focus is on the man and the whiteboard. The image is taken from a low angle, so the man's face is not visible in the frame.</caption><transcript><audio_1> ¿Vale? Se puede ver que es un arco tangente. Esta es muy obvia. Para que lo</transcript><transcript><audio_2> Y podría hacer un cambio de variable. ¿Vale? O sea, lo podría hacer por cambio de variable, pero... Este bain se le pone t igual a 2x.</transcript><caption><image_3>The image is a black and white photograph of a whiteboard with a mathematical equation written on it. The equation is written in black marker and appears to be a trigonometric equation. The background of the image is blurred, but it seems to be an empty space with no other objects or decorations. The image is taken from a top-down perspective, looking down on the equation.</caption><caption><image_4>The image shows a person writing on a whiteboard in a classroom. The person is wearing a black shirt and glasses and is holding a pen in their right hand. The whiteboard is white and the person is writing on it with black marker. The text on the whiteboard reads "S(x^2x^1) = t2x + 2x". The text is written in black marker and appears to be a mathematical equation. The background of the image is a plain whiteboard.</caption><transcript><audio_5> diferencial de x diferencial de x igual a 2 partido diferencial</transcript><caption><image_6>The image shows a man standing in front of a whiteboard, writing on it with a marker. He is wearing a black shirt and glasses, and his back is facing the whiteboard. The whiteboard is filled with mathematical equations and formulas written in black marker. The man appears to be writing on the board with a focused expression on his face. The background is dark, and the overall mood of the image is somber.</caption><video><caption><image_7>The image shows a whiteboard with mathematical equations written on it. The equations are written in black marker and are written on a white surface. The whiteboard appears to be in a classroom or a classroom setting. The person's hand is visible on the left side of the image, pointing to one of the equations. The equation is written in the form of a quadratic equation, with the x-axis and the y-axis labeled as "t = 2x". The equation also includes the equation "2x" and the equation of the equation. The background is blurred, but it seems like the person is standing in front of the whiteboard.</caption><caption><image_8>The image shows a person's hand pointing to a whiteboard with mathematical equations written on it. The equations are written in black marker and appear to be related to solving a mathematical problem. The person is wearing a black shirt and is standing in front of the whiteboard. The background is blurred, but it appears to be a classroom or a classroom setting.</caption></video><caption><image_9>The image is a photograph of a whiteboard with mathematical equations written on it. The equations are written in black marker and are arranged in a grid-like pattern. The text on the whiteboard appears to be a mathematical equation or a mathematical problem. The background of the image is blurred, but it seems to be an office or classroom setting. The image is taken from a high angle, looking down on the equations.</caption> split 4x cu + arctangent. This is very obvious so you can see it well and I could make a change of variable. Okay, I could do it by change of variable, but you are going to put t = 2x differential of t = a 2 differential of we put two arctangent of from the li the other way around the differential of of T the derivative of 2x is 2 differential of no I need the derivative of this function which is the one inside I need here so I put a two here and I put a half here a half this a half Okay I have to do it all at once I can't be changing the variable there because no because then you have to
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