Mr Daniels Maths
Functions Inverse

Set 1

Set 2

Set 3

Q1) h(x) =x + 4. Find h'(x). [ h'(x) = x -4]

Q1) f(x) = 4 x + 7. Find f'(x). [ \(f'(x) \)= \({x -7}\over4\)]

Q1) h(x) =\(x^ 3 -2\). Find h'(x). [ h'(x)= \( \sqrt[3]{x +2} \)]

Q2) g(x) =x + 4. Find g'(x). [ g'(x) = x -4]

Q2) g(x) = 10 x -7. Find g'(x). [ \(g'(x) \)= \({x +7}\over10\)]

Q2) f(x) =\(x^ 3 -2\). Find f'(x). [ f'(x)= \( \sqrt[3]{x +2} \)]

Q3) \(g(x) =9{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over9\)]

Q3) f(x) = \(x\over 4\) -9. Find f'(x). [ \(f'(x) \)= \(4(x +9)\)]

Q3) g(x) =\( 3 x^ 3 -9\). Find g'(x). [ g'(x)= \( \sqrt[3]{{x +9}\over 3} \)]

Q4) \(g(x) =2{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over2\)]

Q4) f(x) = \(x\over 2\) + 5. Find f'(x). [ \(f'(x) \)= \(2(x -5)\)]

Q4) h(x) =\(x^ 2 -10\). Find h'(x). [ h'(x)= \( \sqrt[2]{x +10} \)]

Q5) f(x) =x -6. Find f'(x). [ f'(x) = x +6]

Q5) g(x) = \(x\over 3\) + 6. Find g'(x). [ \(g'(x) \)= \(3(x -6)\)]

Q5) h(x) =\(x^ 3 -4\). Find h'(x). [ h'(x)= \( \sqrt[3]{x +4} \)]

Q6) f(x) =x + 6. Find f'(x). [ f'(x) = x -6]

Q6) f(x) = 5 x -9. Find f'(x). [ \(f'(x) \)= \({x +9}\over5\)]

Q6) f(x) =\( 3 x^ 2 + 3\). Find f'(x). [ f'(x)= \( \sqrt[2]{{x -3}\over 3} \)]

Q7) \(h(x) =8{x}. \) Find \(h'(x).\) [ \(h'(x)\) = \(x\over8\)]

Q7) g(x) = \(x\over 3\) -8. Find g'(x). [ \(g'(x) \)= \(3(x +8)\)]

Q7) h(x) =\( 8 x^ 3 -9\). Find h'(x). [ h'(x)= \( \sqrt[3]{{x +9}\over 8} \)]

Q8) \(g(x) =8{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over8\)]

Q8) h(x) = \(x\over 8\) + 2. Find h'(x). [ \(h'(x) \)= \(8(x -2)\)]

Q8) g(x) =\( 9 x^ 2 -3\). Find g'(x). [ g'(x)= \( \sqrt[2]{{x +3}\over 9} \)]

Q9) \(f(x) =4{x}. \) Find \(f'(x).\) [ \(f'(x)\) = \(x\over4\)]

Q9) h(x) = 2 x + 8. Find h'(x). [ \(h'(x) \)= \({x -8}\over2\)]

Q9) g(x) =\(x^ 2 + 2\). Find g'(x). [ g'(x)= \( \sqrt[2]{x -2} \)]

Q10) g(x) =x + 7. Find g'(x). [ g'(x) = x -7]

Q10) h(x) = \(x\over 5\) -6. Find h'(x). [ \(h'(x) \)= \(5(x +6)\)]

Q10) f(x) =\( 3 x^ 2 + 8\). Find f'(x). [ f'(x)= \( \sqrt[2]{{x -8}\over 3} \)]