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Move y terms to the left hand side and the keep the x terms on the right hand side: dy*(1/(exp(4y))) = dx*(3x/(7+2x^(2))^(2)) First, solve the right hand side by using a substition: u = 7 + 2x^(...
When you differentiate you find the equation which lets you find the gradient of the equation at a specific point.To do so you multiply the power of the x by the respective coefficient, then that becomes ...
To differentiate, multiply the power by the coefficient and then take one off the power so the answer is 12x3 + 12x - 7
Divide the equation by two to get y = 2x - 5This shows that the gradient of the line is 2. Any other equation with the gradient equal to 2 (the x coefficient) when the y coefficient is 1.e.g. y = 2x +12 <...
0.0151515..=x15.151515..=1000x999x=15.1x=15.1/999=1/66
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