In Exercises 43-46, x and y are related by the given equation. Use implicit differentiation to calculate the value of d y d x for the given values of x and y . x y 2 − x 3 = 10 ; x = 2 , y = 3
In Exercises 43-46, x and y are related by the given equation. Use implicit differentiation to calculate the value of d y d x for the given values of x and y . x y 2 − x 3 = 10 ; x = 2 , y = 3
Solution Summary: The author explains how to calculate the value of dx using implicit differentiation. The product rule and power rule of differentiation are used on the left side of the equation.
In Exercises 43-46,
x
and
y
are related by the given equation. Use implicit differentiation to calculate the value of
d
y
d
x
for the given values of
x
and
y
.
In Exercises 61-68, compute the derivative indicated.
F(r, s, t) = r(s2 + t2), Frst
Let f(x)= [(x+4)^5(4x-1)/(6x+3)^5]^1/6
Use logarithmic differentiation to find the derivative of f.
f ' (x)= f (x) [A/(x+4)+B/(4x-1)+C/(6x+3)], where
A=______
B=______
C=______
in exercises 1-66 find the derivative of the following function g(x)=ln|2x^2 + 1|
Chapter 3 Solutions
Calculus & Its Applications Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (14th Edition)
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