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 (e^x)             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 = sin² (cos kx)         Solution

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

(25)  Differentiate y = e^3x/(1 + e^x)             Solution

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

(27)  Differentiate y = e^{xcos 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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