do no.9 pls and pls show work (1) Find the limit (show the steps). lim0-0(2) Find the derivative: m (x)1f(x) = -x³- e* +·(4) Find the derivative:=- In(3) Compute the value of Ay and the value of dy for the function below; f(x). Let the variable xgo from 3.0 to 3.02. Carry your answer to 4 decimal points.dx(10)ax²(cos 30) - 1sin 50+ 1/2+|1–cosxsin x+ tanx - e³x(5) Find y' be implicit differentiation:+3y-¹(6) Find the derivative. f(x) = x³ lnx + log10 x(7) Function f(x) is defined as y = sin x + ln x, Note that x and y are functions of t. Findthe rate of change of x with respect to time for x = (radians) when the rate of change of ywith respect to time is 4 m/s (meters per second)(8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4=(9) Find the derivative: f(x) = cos(lnx) + log10 xFind the derivative by taking In (natural log) of both side of the function.y = [(cos x)*]x2²

Answered: (9) Find the derivative: f(x) =…

Math

Calculus

(9) Find the derivative: f(x) = cos(lnx) + log₁0 x

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

do no.9 pls and pls show work

(1) Find the limit (show the steps). lim
0-0
(2) Find the derivative: m (x)
1
f(x) = -x³- e* +·
(4) Find the derivative:
=
- In
(3) Compute the value of Ay and the value of dy for the function below; f(x). Let the variable x
go from 3.0 to 3.02. Carry your answer to 4 decimal points.
dx
(10)
a
x²
(cos 30) - 1
sin 50
+ 1/2+
|1–cosx
sin x
+ tanx - e³x
(5) Find y' be implicit differentiation:+3y-¹
(6) Find the derivative. f(x) = x³ lnx + log10 x
(7) Function f(x) is defined as y = sin x + ln x, Note that x and y are functions of t. Find
the rate of change of x with respect to time for x = (radians) when the rate of change of y
with respect to time is 4 m/s (meters per second)
(8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4
=
(9) Find the derivative: f(x) = cos(lnx) + log10 x
Find the derivative by taking In (natural log) of both side of the function.
y = [(cos x)*]x2²

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