please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the...
Problem 1. (a) The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 80 mm? dy dx (b) If x+y+z-9, dt 5, and -4, find dt dz dt when (x, y, z)-(2,2,1). Problem 2. (a) Find the derivative of the function yr e-****** (b) Find the derivative of the function y - In(x* +100). cos. Problem 3. Use logarithmic differentiation to find the derivative of the function...
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
number 7. On the right is what I have done so far but I’m getting the wrong answer. 2:32 PM Wed Jun 3 59% & webassign.net ТО 6. (1/1 Points) DETAILS PREVIOUS ANSWERS SBIOCALC14.3.013 MY NOTES PRACTICE ANOTHER Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. cosx-1*Y** /2x4 7 lim. X+0 In(8) - In(5) L'Hospitals rule lim daxl.c05x - 1 + y2 x 1/1/0x 2x) Need Help? Reach Tak to...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
solve d-f Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0 tan 3.0 2.2 1 (b) limu+0+ In(X) (c) limx→ In(x + 3) – In(3x + 2) (d) limz+ x sin(5) (e) lim.+ 22-45 4" +3: (f) limo (#2) (g) lim + (e+ + a)*
Use logarithmic differentiation to find the derivative of the function. y = (tan(x))2/ 4 cos ec(2x) y' = 2 ln(tan(x)) 2 Need Help? Read It Watch It Talk to a Tutor Submit Answer 13. [1/1 Pointsi TOT
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
find the first derivative use chain rule please and thank you :) 7.) y=[sin" (n))" 5.) S(x)=sin(1
Provide an appropriate response. Find the second derivative of the the function y-sin-12x och 1 - 4x2 2(1 - 4x2,32 (1 - 4x2,312 "-4392 Find any 5**v = yn In 5 In y 5x + y -5x + y + in 5-1 5x + y 5x + V + In 5 vin 5 - 1 vin 5-1 Find the derivative of y with respect to x, t, or, as appropriate.y = 4+2ee dee Use l'Hopital's Rule to evaluate the limit....