Q3. Find the indicated derivative(s). (a) g(), where g(1) = f(x(1), y(1)), f(x, y) = x²y – sin y, x(1) = Vr +1, y(1) = e' %3D (b) and диду where g(u, v) = f(x(u, v), y(u, v)). f(x, y) xy-4x2, x(u, v) = e, y(u, v) J +I sinu

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

A:

Q: y = 3e Let f(u) = 3e". Find g(x) such that y = f(g(x)). %3D u = g(x) = %D

A:

Q: Consider the function. y = 5x Let f(u) = 5". Find g(x) such that y = f(g(x)). u = g(x) = Find f'(u)…

A: Given Y = 5x². Y = 5x² f(u) = 5u G(x) is also a function Y = f(g(x))

Q: a. Find the derivative function f' for the functionf. b. Find an equation of the line tangent to the…

A: Find the tangent line

Q: Compute the derivatives of the given functions. a) f(r) = 3". f'(r) b) g(s) = 125. g'(s) = b) h(t) =…

A:

Q: calculate the derivative at t = 3, assuming that rị(3) = (1, 1, 0) , r2(3) = (1, 1, 0) r{ (3) =…

A: To calculate: ddt6r1(t)-4·r2(t) at t=3, where r1(3)=<1,1,0>,…

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table to compute the following derivatives. a. h'(4)…

A: In loose transaction of composite function u(v(x)), v is known as inside function and u is known as…

Q: Let g(x) = 6x³ + 7x7 +2r Determine the derivative of g. 70)- Determine the slope of g at = 1. g'(1)…

A:

Q: 3y' –4x²y+ xy = -5 %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the derivative of the following functions: (Do not simplify) A.f(z) =E B. g (포) %3Dz In(5x? +9)…

A:

Q: H(w)= (6-5w)* 2. %3D

A: Find your answer below

Q: Consider the following functions. f(u) = 4u² h(u) = u + u p(u) = (u² + u)³ 4u2 g(u) = Find the…

A:

Q: Use the technique of differentiation to find the derivatives of the follow- ing functions. (1) y =…

A:

Q: - 6 - 2t 5t - 1 Determine the derivative of g. Let g(t) g'(t) = = 32 (5t − 1)² ✓ Determine the slope…

A: The function is The aim is to find the derivative of the function

Q: Find derivatives of: 1.) f(t)= 7t          2.) g(x)= 3x-9      3.) h(v)= v3 4.) m(x)= π2

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A:

Q: 2. Consider the function f (x) = r' - x2 - 5x + 13. (a) Compute f'(x). (b) Find the slope of the…

A: Authoring guidelines:…

Q: 3. Find the derivative of y with respect to x in the following functions : u? a) y= u² +1 18x' y'…

A:

Q: Let g(x) = xe2r +1. Find g'(x). Don't simplify your answer. (а) 3. Let h(t) sec(t2). Find h"(t).…

A: (a)Given:

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: Find the derivative of the function. F(z) = e7/(z – 2) %3D 2e²/(z-2) f'(z) (: – 2)² II

A: f(z)=ezz-2now differentaating both sides with respect to "z"Thenddxf(z)=ddxezz-2…

Q: 2. Let g(r) = 1+ 4r. (a) Use the definition of derivative to find g'(3), the derivative of g at r =…

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Given: