Answer: Consider y = $\begin{array}{l} \frac{{a{x^2} + bx + c}}{{p{x^2} + qx + r}} \end{array}$ y - fraction of two functions say u and v where, u = ax2 + bx + c v = px2 + qx + r ∴ y = u/v Using...
Differentiate the following functions with respect to x:
Answer: Consider, y = $\begin{array}{l} \frac{{{e^x} - \tan x}}{{\cot x - {x^n}}}\\ \end{array}$ y - fraction of two functions say u and v where, u = ex – tan x v = cot x – xn ∴ y = u/v Using...
Differentiate the following functions with respect to x:
Answer: Consider, y = $\begin{array}{l} \frac{{x + {e^x}}}{{1 + \log x}}\\ \end{array}$ y - fraction of two functions say u and v where, u = x + ex v = 1 + log x ∴ y = u/v Using quotient rule of...
Differentiate the following functions with respect to x:
Answer: Consider, y = $\begin{array}{l} \frac{{2x - 1}}{{{x^2} + 1}}\\ \end{array}$ y - fraction of two functions say u and v where, u = 2x – 1 v = x2 + 1 ∴ y = u/v Using quotient rule of...
Differentiate the following functions with respect to x:
Answer: Consider, y = $\begin{array}{l} \frac{{{x^2} + 1}}{{x + 1}}\\ \end{array}$ y - is a fraction of two functions say u and v where, u = x2 + 1 v = x + 1 ∴ y = u/v Using quotient rule of...