MSBC1201
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IBMATHS.NET WORKSHEET MSBDC1201 Now text urs problem at [email protected] and will get the solution with in 24 hrs IBDP, A-level, IGCSE,UNIVERSITIES (US,UK),SAT-1,SAT-2(MATHS ,COMPUTING ,STATS,MACHANICS,PHY,CHEM) 1 1. Differentiate with respect to x (a) (b) e sin x 2. If 2x 2 – 3y 2 = 2, find the two values of when x = 5. 3. Differentiate y = arcos -1 (1 – 2x 2 ) with respect to x, and simplify your answer. 4. Give exact answers in this part of the question. The temperature g(t) at time t of a given point of a heated iron rod is given by g(t) = ,where t > 0. (a) Find the interval where g (t) > 0. (b) Find the interval where g (t) > 0 and the interval where g (t) < 0. 5. Differentiate with respect to x: (a) (x 2 + l) 2 (b) 1n(3x – 1). 6. Let f (x) = x 3 . (a) Evaluate for h = 0.1. (b) What number does approach as h approaches zero? 7. Differentiate from first principles f(x) = cos x. 8. Given that f(x) = (2x + 5) 3 find (a) f (x); 9. If f(x) = ln(2x – 1), x , find (a) f (x); (b) the value of x where the gradient of f(x) is equal to x.
Transcript of MSBC1201
IBMATHS.NET WORKSHEET MSBDC1201
Now text urs problem at [email protected] and will get the solution with in 24 hrs
IBDP, A-level, IGCSE,UNIVERSITIES (US,UK),SAT-1,SAT-2(MATHS ,COMPUTING ,STATS,MACHANICS,PHY,CHEM) 1
1. Differentiate with respect to x
(a)
(b) esin x
2. If 2x2 – 3y2 = 2, find the two values of when x = 5.
3. Differentiate y = arcos-1
(1 – 2x2) with respect to x, and simplify your answer.
4. Give exact answers in this part of the question.
The temperature g(t) at time t of a given point of a heated iron rod is given by
g(t) = ,where t > 0.
(a) Find the interval where g (t) > 0.
(b) Find the interval where g (t) > 0 and the interval where g (t) < 0.
5. Differentiate with respect to x:
(a) (x2 + l)
2
(b) 1n(3x – 1).
6. Let f (x) = x3.
(a) Evaluate for h = 0.1.
(b) What number does approach as h approaches zero?
7. Differentiate from first principles f(x) = cos x.
8. Given that f(x) = (2x + 5)3 find
(a) f (x);
9. If f(x) = ln(2x – 1), x , find
(a) f (x);
(b) the value of x where the gradient of f(x) is equal to x.
IBMATHS.NET WORKSHEET MSBDC1201
Now text urs problem at [email protected] and will get the solution with in 24 hrs
IBDP, A-level, IGCSE,UNIVERSITIES (US,UK),SAT-1,SAT-2(MATHS ,COMPUTING ,STATS,MACHANICS,PHY,CHEM) 2
10. The function f is given by
(a) Find f (x).
11. Consider the function f(x) = k sin x + 3x, where k is a constant.
(a) Find f (x).
(b) When x = , the gradient of the curve of f(x) is 8. Find the value of k.
12. Consider the function
where x +.
Show that the derivative
13. Let f(x) = + 5cos2x. Find f (x).
14. The function f is defined by f(x) = , for x > 0.
(a) (i) Show that
(ii) Obtain an expression for f(x), simplifying your answer as far as possible.
15. Let y = e3x
sin(x).
(a) Find .
(b) Find the smallest positive value of x for which = 0.
16. The function f is defined by f (x)= 3x.
Find the solution of the equation f(x) = 2.
17. Let , x –2.
(a) Find f(x).
(b) Solve f(x) > 2.
18. Differentiate w. r. t. x
IBMATHS.NET WORKSHEET MSBDC1201
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IBDP, A-level, IGCSE,UNIVERSITIES (US,UK),SAT-1,SAT-2(MATHS ,COMPUTING ,STATS,MACHANICS,PHY,CHEM) 3
(a)
(b)
19.
Find the
20.
if
