Q2 a) Find the second derivative of the following function y = tan x + sin-1x...
please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2 Find the derivative of...
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....
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina
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
-/1 POINTS SCALC8 2.5.045. Find the derivative of the function. y = cos( V sin(tan(5x)))
Using the Chain rule find the derivative of the function: 1. y=(x?+2x2,6
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. xy) =x"cos(y) +x"win(x) cos(x)sin(y). Plo The direction in which the given function txy_f(xy)-x3cos(v)+x2vsin(x) + cos(x)sin(y)increases most rapidly at P 0주 is u: " (Type exact answers, using radicals as n (xy)=x3cos(y)+x"win(x)-cos(x)sin(y) The direc on in which the given function f(xy- is eases most rapidly at (Type exact answers, using radicals as needed The derivative of the...
1.2. If w =exp(x+y) and x = sin(311) and y = 21cos(-131), find w/ot in two ways, once by plugging in, and once by the chain rule. 3. Show why it is true that, if f(x, y) = implicitly defines y as a function of x. we can compute the derivative dy/dx as the negative of the quotient of f/ox and 51/by. 4. Find the directional derivative of the function f(x.y) = (x+1)* cos(-3)) at the point (0.1) in in...
Find the derivative of each one. a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x