Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):
\( \dfrac{x^2cos(\dfrac{\pi}{4})}{sinx}\)
Let f(x)= \( \dfrac{x^2cos(\dfrac{\pi}{4})}{sinx}\)
By quotient rule,
\( cos(\dfrac{\pi}{4})[\dfrac{sinx(2x)-x^2(cosx)}{sin^2x}]\)
\( \dfrac{ xcos\dfrac{\pi}{4}[2sinx-xcosx]}{sin^2x}\)
Differentiate with respect to x xn loga x
Differentiate with respect to x xn tan x
Differentiate with respect to x x2 ex log x
Differentiate with respect to x x3 ex
Differentiate with respect to x x3 sin x
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