See the attached problem, thank you. The functions fand g are differentiable for all real numbers, x. The table below gives valuesof the function and their first derivatives at selected values of x with a being a constant.X912343π4815f'(x)√2-652a²g(x)03find r'(x) at x = 2.9g'(x)1a-41a. If h(x) = sin(f(x)), write the equation of the line tangent to h at x = 1.1b. If f(x) = √g(2x)r(x)23

From the given table, we have to find a) The equation of tangent line at x=1 for the function…

Answered: The functions fand g are differentiable…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Consider a differentiable function g with domain [0,infinity).Given that g'(x)=a-ex^2 with a an element of all real numbers and a>1The function has only one critical point at x2 =ln(a) .Use the Second Derivative test to identify the local extreme at x2 =ln(a) .
Consider the function f(x)=ln (1+x2). a. Find all the critical values of f(x)=ln (1+x2). Using the first derivative test, identify the intervals of increase and intervals of decrease
How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because this was on a timed test with about 40 questions.
find a linearization at a suitably chosen integer neara at which the given function and its derivative are easy to evaluate. ƒ(x) = sin-1 x, a = π/12
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The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the derivative of f at x. To find the derivative of the given function, we will use the four-step process. Step 1: Compute f(x + h) and expand the expression. f(x) = 7x2 + 4x f(x + h) = 7(x + h)2 + 4(x + h) = 7 x2 + xh + h2 + 4(x + h) = 7x2 + xh + 7h2 + 4x + 4h None of the terms in the expanded expression can be combined. Therefore, f(x + h) is as follows. We note that it is not required to expand and simplify the result, but doing so will make the upcoming steps easier to complete.
For what x-value (approximately) does the function f (x) = sin(x) − x reach height -2? (Use x = 2 as a first approximation, use at least 5 decimal places in your calculation, and continue until at least 3 decimal places are correct or stable.)
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1. Find the derivative. g(x)=(4x-2)^5-√(x^2+8) 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3 3. Find the slope of the tangent line to the graph at the given point. 4xcosy+1=5 at the point (2,5pi/3)

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