Question: Given y=f(u) and u=g(x), find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=2u3+1u=3x2

Given y=f(u) and u=g(x), find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=2u3+1u=3x2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

MCV 4U Page 3 of 3 THINKING 4. A quadraTic funcTion passes Through The origin. AT The origin, The slope of The TangenT To The curve is 5. AT x = 6, The slope of The TangenT To The curve is 91. Find...

Q:

3. Let h(x) = g( f (x)). Use the graphs of f (x) and g(x) below to nd the indicated values of h'(x). (a) h '(2) (b) h '(0) - l at) 4. Suppose that the equation of motion of a particle is given by...

Q:

please help with questions 1-3 :) Question 1 0/1 pt Details Give y = f (u) and u = g (x), find - by using Leibniz's notation for the chain rule: dy dy du dx du dx y = 5u - 4, u = 3x2 dy dx Question...

Q:

Someone please help me with these calculus question. Use Equation 3.1 to find the slope of the secant line between the values a and 12 for the function y = f(I). Round to at least 2 decimal places,...

Q:

Given y = f(u) and u = g(x), find dy dx by using Leibniz's notation for the chain rule, y = 4u+1, u = x - 4x dx x dy dy du = dx du dx

Q:

pls help . Question 4 0/1 pt @ Details Given y = f (u) and u = g (x), find da by using Leibniz's notation for the chain rule: dy du da du dx y = V4u - 1, u = x2 - 5x Question Help: G VIDEO Message...

Q:

Eg.1: If f(x) = 2 3X and g(x) = 5X2 + x , then find the functions f o g and g o f and g o g . Sol: a) f 0 g(X)= f (g(X))= b) g 0 f(x) = g(f(x))= C) 805,706): To find the derivative of a composite...

Q:

Solve the problem. What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a? Group of answer choices The limit ofasfrom the left...

Q:

Unit 2 - Activity 5 n The Derivatives of Composite Functions { We have seen many ways to differentiate combinations of polynomial functions: Another way that functions are often combined 15 called...

Q:

DO IT ON PAPER! The Derivatives of Composite Functions We have seen many ways to differentiate combinations of polynomial functions: six): fix) 3 '(xi s-{xi fix) a '(' 3.. \ Another way that...

Q:

Jones claims to have extrasensory perception (ESP). In order to test the claim, a psychologist shows Jones five cards that carry different pictures. Then Jones is blindfolded and the psychologist...

Q:

K so here's the problem: Rates of return on stock are independent and normallydistributed with a standard deviation of 1.7 - A sample of 12months is taken. a. Find probability that sample standard...

Q:

ST 107 Homework Week #4 6. Once the case is in progress, what is the method for counting the retainable items? 7. Which characteristics of surgical sponges make them the most frequently retained...

Q:

Which of the following are possible threats to internal validity for a One-group posttest-only design? History Maturation Instrumentation Testing Regression to the mean Mortality/Attrition Selection