dy For the following composite function, find an inner function u = g(x) and an outer function y=f(u) such that y=f(g(x)). Then calculate dx y=tan (2x) Calculate the derivative of the following function. y = (5x - 19) dy Carry out the following steps for the given curve. dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point. x +y = 337;( - 4,3) a. Use implicit differentiation to find b....
Take the derivative of each of the following 3t = 1. g(x) = (3x2 – 22 )4 2. r(t) t2+1 3. f(z) = (5x+1)3 sin^2 4. f(x) = cos (ex?)
1.Z=f(x,y)=6x+7y where i) x=g(x)=x^2 y=h(x)=x^4 and ii )x=g(x)=x and y=h(x)=x^3. Please calculate Total derivative by applying this formula dZ=Zx dx/dx +Zy dy/dx
Find dy at x = dt - 5 if y = – 3x2 – 1 and dx = - 5. dt dy dt
Given f(x) and g(x), find the indicated composition. 18) f(x) = 4x2.5x + 4; g(x) = 5x - 8 Find (g. (x). Solve the problem. 19) logx 5 = 1 Express as a sum of logarithms. 20) logx (6yz) Express as a single logarithm, and, if possible, simplify. 21) logw (x2 - 49) - logw (x - 7) 22) loga x9- 3 loga
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
calculo
1- Given the function y = (4-x^2 ) + 4 * arcsen (x/2) Get dy/dx and its value for x 0 (this year is requested to find the value of the pending for the function given in Point X :0). 2- Is yarcta n ((x +3)/(1-3x) Find his derivative 3- Determine dy,/ dx and the value at the point (using implied derivation) 2x 2 y 2-3xy 1 0 3x2Уз + 3xy2 +1-6+,5 2xy + sen(y) # 2 6 Determine...
Prob.II. Differentiate the following functions, and simplify. 1. f(x) 2x-3 x+4 2. f(x) = x²(x - 2)* 3. f(x) = In (x V1 - x2) 4. f(x) = x2e-* 5. Find dy/dx = y' for the equation x2 + y2 = 25 and find y" (check H.W)
evaluate JJ. (< –Y) A. ) Integrate f(x, y, z) = x2 + y2 + 22 over the cylinder x2 + y2 < 2,-2 <2<3 (IL dx dy dz Feraluate