# DERIVATIVE PRACTICE PROBLEMS WORKSHEET

(1)  Differentiate f(x) = x - 3 sinx       Solution

(2)  Differentiate y = sin x + cos x      Solution

(3)  Differentiate f(x) = x sin x      Solution

(4)  Differentiate y = cos x - 2 tan x       Solution

(5)  Differentiate g(t) = t3cos t

(6)  Differentiate g(t) = 4 sec t + tan t

(7)  Differentiate y = ex sin x

(8)  Differentiate y  =  tan x / x

(9)  Differentiate y  =  sin x / (1 + cos x)

(10)  Differentiate y  =  x / (sin x + cos x)

(11)  Differentiate y = (tan x -  1)/ sec x        Solution

(12)  Differentiate y = sin x / x2

(13)  Differentiate y = tan θ (sin θ + cos θ)

(14)  Differentiate y = cosec x ⋅ cot x

(15)  Differentiate y = x sin x cos x      Solution

(16)  Differentiate y = e-x log x     Solution

(17)  Differentiate y = (x2 + 5) log (1 + x) e-3x       Solution

(18)  Differentiate y = sin x°          Solution

(19)  Differentiate y = log10 x          Solution

(20)  Draw the function f '(x) if f (x) = 2x2 − 5x + 3        Solution

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