If \(x = t^{2}\) and \(y = t^{3}\), then \(\frac{\text{dy}}{\text{dx}} = ?\)...
If \(x = t^{2}\) and \(y = t^{3}\), then \(\frac{\text{dy}}{\text{dx}} = ?\)...
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-05-22 | If \(x^{y} = e^{x - y}\), prove that \(\frac{\text{dy}}{\text{dx}} = = \frac{\log x}{(1 + \log x... |
2024-05-22 | Differentiate the following functions w.r.t \(\frac{\sqrt{x^2-1}(3 x+7)^{5 / 3}}{\left(x^2+3\righ... |
2024-05-22 | Differentiate the following functions w.r.t \(\sqrt{\frac{(x-3)\left(x^2+4\right)}{3 x^2+4 x+5}}\... |
2024-05-22 | Find \(\frac{\text{dy}}{\text{dx}}\) when \(x = a\frac{1 - t^{2}}{1 + t^{2}}\) and \(y = \frac{2b... |
2024-05-22 | Find \(\frac{\text{dy}}{\text{dx}}\) where \(x = e^{t}\)\(\left( t + \frac{1}{t} \right)\) and \(... |
2024-05-22 | Differentiate \(x^{x}\) w.r.t. \(x\)... |
2024-05-22 | Differentiate \(\frac{x^{3}}{1 - x^{3}}\) w.r.t. \(x^{3}\).... |
2024-05-22 | If \(x \sqrt{1+y}+y \sqrt{1+x}=0, x \neq y\), then prove that \(\frac{d y}{d x}=-\frac{1}{(1+x)^2... |
2024-05-22 | If \(y=\sqrt{1+\sqrt{1+x^4}}\), prove that \(y\left(y^2-1\right) \frac{d y}{d x}=x^3\)... |
2024-05-22 | Which of the following systems has non-trivial solutions? If so, find these solutions. \(x + y -... |
2024-05-22 | If \(x = t^{2}\) and \(y = t^{3}\), then \(\frac{\text{dy}}{\text{dx}} = ?\)... |
2024-05-22 | Derivative \(x^{2}\) w.r.t \(x^{3}\) is:... |
2024-05-22 | Let \(y = t^{10} + 1\) and \(x = t^{8} + 1\), then \(\frac{\text{dy}}{\text{dx}}\) is... |
2024-05-22 | Which of the following systems has non-trivial solutions? If so, find these solutions. \(3x + y -... |
2024-05-22 | Using the determinants, find whether the system \(x\ –3y\ + \ 5z\ = \ 4,\ 2x\ &... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \(6x + y - 3z - 5 = 0\) \(x... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \((a + b)x - (a - b)y = 4ab... |
2024-05-22 | Using Cramer's rule, solve the following systems of linear equations: \(f(x)\ = \ ax^{... |
2024-05-22 | Using determinants, show that the following system of linear equations is inconsistent : \(3x - y... |
2024-05-22 | Which of the following equations are consistent? If consistent, solve them: \(2x - y = 5\) \(4x -... |
2024-05-22 | Find values of k if area of triangle is 4 square units and vertices are (i) \((k,0),(4,0),(0,2)... |