Evaluate \(\lim_{ x\rightarrow 0 }{ lim } \frac { 2sinx-sin2x }{ x^{ 3 } } \)

4

(a)

Evaluate sin ( x + 1)

4

(a)

Evaluate logx²

4

(a)

Evaluate (sin x - cos x)

4

(a)

Evaluate \(\lim_ { x\rightarrow 0 }{ lim } \frac { sin2x+3x }{ 2x+tan3x } \)

4

(a)

Find the derivative of (x+a) (it is to be understood that a, b, c, d, p, q, rand s are fixed non-zero constants and m and n are integers)

5

(a)

Find the derivative of  \((px+q)\left( \frac { r }{ x } +s \right) \) (it is to be understood that a, b, c, d, p, q, rand s are fixed non-zero constants and m and n are integers)

5

(a)

Find the derivative of  \(\frac { a+b\sin\ x }{ c+d \cos\ x } \) (it is to be understood that a, b, c, d, p, q, rand s are fixed non-zero constants and m and n are integers)

5

(a)

Find the derivative of f(x) = 2x² + 3x - 5 at x = -1.Also shwo that \(f^{'}(0)+3f^{'}(-1)=0\)

5

(a)

Evaluate: \(\overset{Lt}{x\rightarrow 0}\frac{log(3+x)-log(3-x)}{x}\)

5

(a)

Evaluate: \(\overset{Lt}{x\rightarrow e}\frac{log x-1}{x-e}\)

5

(a)