Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2 2??−3 )
Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2 2??−3 ) 3x+2 Differentiate the...
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
#35,37 In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
5. Differentiate the following functions by filling in the chart. Original Function Rewrite Differentiate Simplify a. f(x)= V.x2 b. f(x)= c. f(x)= 4 3.x2 T d. f(x)= (5x)2
Consider the function y=ln(2)(-4x+3)(2^3x-2x^2) 1. What is the general expression of the elasticity in terms of x? 2. What value does the elasticity actually have when x=4?
Name: Lab 3: Differentiation An example to differentiate an expression: To assign the expression 2x-5x+x to the variable fenter: f:-2*x^3-5 *x^2 +x; To enter f(x) -2x3-5x+x as a function enter: f:=x->2*x^3-5*x^2+x To differentiate some function fenter: D (f); To differentiate some diff (f,x) ; expression f with respect to x enter: Now follow the steps in the Example above to differentiate the expression t-1 Keep in mind that you cannot use the variable f for the expression (we already used...
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
SHORT ANSWER. You need to show work if it applied. Otherwise, you will not receive full poi Differentiate. Name 1) f(x)-(-3,7-x4)(2x2-5x + 3) 2) f(x) = (x2 + x)(3x2 + 4x-1) at x = 1 Enter just an integer. 12-7r-5 3r -4 ㄥ
determine the value of k such that g(x)=3x+k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one pointdetermine the value(s) of k such that the linear function g(x)=4x+k does not intersect the parabola f(x)=-3x^2-x+4
(5 pts) Let f(x)=-3x? +5x+2. Evaluate and fully simplify the difference quotient f(x+h)-f(x) h You must show all work to receive credit.