9) Given z = x² + xy?, use the Chain Rule to find where x = uv? +wº, y=u+ve" ди
6. [-12 Points] DETAILS SCALCET8 14.5.012. Use the Chain Rule to find Oz/os and Oz/t. z = tan(u/v), u = 6 + 9t, v = 9s - 6t дz as oz at Need Help? Read It Talk to a Tutor 7. [-13 Points] DETAILS SCALCET8 14.5.021. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = 5 + 2t - u, θz oz oz when s = 4, t = 3, u =...
Please show your work. Use the Chain Rule to find Oz/as and Oz/ot. z = e cos(O), r = st, 0 = 55+ 45 de = 1
(1 point) Use the chain rule to find ow, where u0 = xy + yz,x = d, y = e sin t, z = e cost First the pieces: Now all together: dw = dw dx + dw dy + dw dz is too horrible to di – og det du di + Öz do is too horrible to write down (correctly).
dz Use the chain rule to find where z=(x - y)?, x=st and y=st? at Use the Comparison Test to determine if the series is convergent or divergent. n=1 2n4-1
5. -11 points Use the Chain Rule to find dz/ds and Oz/t. z = e' cose, r = st. - V 54 + 4
Use the Chain Rule to find the first derivative , where z = -, x =p+q, and y =p - . Express the final answer in terms of p and q.
a. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s ∂z ∂t ∂z ∂u when s = 1, t = 2, u = 3 b. Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; ∂w ∂r ∂w ∂θ when r = 8, θ = pi/2 c. Use the...
If?=? ?+? ? ,where?=??? ,?=?? ? ,?= ?2? sin ?, use the chain rule to find ??⁄?? . Leave your answer in terms of x, y, z, r, s and t.
4. Let f(x, y, z) = rytan'() + z sin(xy), < = wy=v²v, z = ". Find fu and , using the chain rule.