CHAIN RULE PRACTICE PROBLEMS WORKSHEET

(1)  Differentiate y = (x2 + 4x + 6)5             Solution

(2)  Differentiate y = tan 3x              Solution

(3)  Differentiate y = cos (tan x)             Solution

(4)  Differentiate y = ∛(1 +x3)             Solution

(5)  Differentiate y = e√x             Solution

(6)  Differentiate y = sin (ex)             Solution

(7)  Differentiate F(x)  =  (x3 + 4x)7             Solution

(8)  Differentiate h(x)  =  (t - (1/t))3/2             Solution

(9)  Differentiate f(t)  =  ∛(1 + tan t)             Solution

(10)  Differentiate y  =  cos (a3 + x3)             Solution

(11)  Differentiate y  =  e-mx                   Solution

(12)  Differentiate y  =  4 sec 5x           Solution

(13)  Differentiate y = (2x - 5)4 (8x2 - 5)-3          Solution

(14)  Differentiate y = (x2 + 1)∛(x2 + 2)       Solution

(15)  Differentiate y = xe^(-x2)               Solution

(16)  Differentiate y ∜(t3 + 1)/(t3 - 1)           Solution

(17)  Differentiate f(x)  =  x/√(7 - 3x)         Solution

(18)  Differentiate y = tan(cos x)         Solution

(19)  Differentiate y = sin2x/cos x         Solution

(20)  Differentiate y = 5-1/x         Solution

(21)  Differentiate y = √(1 + 2 tan x)         Solution

(22)  Differentiate y = sin3x + cos3x         Solution

(23)  Differentiate y = sin(cos kx)         Solution

(24)  Differentiate y = (1 + cos2x)6             Solution

(25)  Differentiate y = e3x/(1 + ex)             Solution

(26)  Differentiate y = √(x+√x)             Solution

(27)  Differentiate y = excos x             Solution

(28)  Differentiate the following

Solution

(29)  Differentiate y = sin (tan (√sin x))               Solution

(30)  Differentiate y = sin-1[(1 - x2)/ (1 + x2)]      Solution

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