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QUESTION 2 (a) By the first principles of differentiation, find the following: (i) Derivative of F(x)=...
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13...
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13 Evaluate the integration I, where I = dt 5t2 3 If f'(x) == Vx+ and the curve f(x) passes through the point (0,2) 2 2 i) Find f(x) 11) Find the local extreme (if any) of f(x) using second derivative test. d) Evaluate using integration by parts: 5 (0)do, where f(O)=(0+1) sin 30 Page 4 of 5
QUESTION 9 Apply the techniques of logarithmic differentiation to find the derivative of the given function...
QUESTION 9 Apply the techniques of logarithmic differentiation to find the derivative of the given function f(x). [Hint: first take the logarithm of both sides and simplify using properties of logarithms. Then differentiate implicitly.) F) - ** (3x+1) {f(x) = {{x^2 (3x + 1)^3} /(sqrt(x^2 + 4))] } TTTT Paragi Arial 3 (12p *DOQ E T' T. . 15 25 Path: P QUESTION 10 Find the derivative of the following expression involving inverse trigonometric functions. g(x) = arctan x +...
answer all 4 questions 2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
answer all 4 questions
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry, if y = xx,
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2...
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
Find f(x) using first principles where f(x)=(x^3+1)/X^2 fferentiate from first principles the function f(x) = +1...
Find f(x) using first principles where f(x)=(x^3+1)/X^2
fferentiate from first principles the function f(x) = +1 upute the consumer surplus at prica
From first principles find the derivative of sqrt(1+x) ? Thanks !!
From first principles find the derivative of sqrt(1+x) ? Thanks !!
need steps 14. Use logarithmic differentiation to find the derivative of f(x) = n(x) at =...
need steps
14. Use logarithmic differentiation to find the derivative of f(x) = n(x) at = e.
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the functio...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
5. Use log differentiation to find the derivative of y = (x² + 1)*(x + 2)...
5. Use log differentiation to find the derivative of y = (x² + 1)*(x + 2) x(5x – x3) 10
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13 Evaluate the integration I, where I = dt 5t2 3 If f'(x) == Vx+ and the curve f(x) passes through the point (0,2) 2 2 i) Find f(x) 11) Find the local extreme (if any) of f(x) using second derivative test. d) Evaluate using integration by parts: 5 (0)do, where f(O)=(0+1) sin 30 Page 4 of 5
QUESTION 9 Apply the techniques of logarithmic differentiation to find the derivative of the given function f(x). [Hint: first take the logarithm of both sides and simplify using properties of logarithms. Then differentiate implicitly.) F) - ** (3x+1) {f(x) = {{x^2 (3x + 1)^3} /(sqrt(x^2 + 4))] } TTTT Paragi Arial 3 (12p *DOQ E T' T. . 15 25 Path: P QUESTION 10 Find the derivative of the following expression involving inverse trigonometric functions. g(x) = arctan x +...
answer all 4 questions
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry, if y = xx,
2+1) π i Given that :-., and arg( 4. Find Find 2. Use the first principles to find the derivative of [20] cos(x-4x) . rt k! 3. Use derivative to show that [10] 4. Find dry,...
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
Find f(x) using first principles where f(x)=(x^3+1)/X^2
fferentiate from first principles the function f(x) = +1 upute the consumer surplus at prica
need steps
14. Use logarithmic differentiation to find the derivative of f(x) = n(x) at = e.
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
5. Use log differentiation to find the derivative of y = (x² + 1)*(x + 2) x(5x – x3) 10
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