Write the equation of a line the represents the linear approximation to the function f(x) = /x +1 at x = 15. Use the linear approximation to estimate /15.9.

Q: Find the derivative of (5/t^2-6/t^3)/(7/t+8/t^4)

A: we have to find derivative of given function

Q: The derivative of . f(x) = Vx4 is %3D

A:

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: Graph of a curve is given as- We have to determine the slope of tangent line to the curve.

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: Estimate using the Linear Approximation or linearization, and use a calculator to estimate the…

A:

Q: Differentiate implicitly to find the slope of the curve at the given point. xy3-x5y2=-4; (-1,2)

A: Given:- xy3 -x5 y2 =-4  To find:- slope of tangent at point (-1, 2)

Q: let f(x)=0.5x2-5 find the slope of the secant line through (2,f(2)) and (4,f(4))

A: Let f(x)=0.5x2-5. We need to find the slope of the secant line through (2,f(2)) and (4,f(4)). Here,…

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: What is the instantaneous slope of Y -5 at X = 5? o 1 O -1

A:

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

A:

Q: use the linear approximation to estimate the value. Compare with the value given by a…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Determine the derivative of a quadratic function of general form y=ax2+bx+c.

A:

Q: Determine the slope of the line tangent to y = √² - 3 at x = 2 In case you need help inputting your…

A: The objective of the question is determine the slope of the tangent to the given function.

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: What is the R-squared? What is the estimate of the intercept if you regress grade on a constant…

A: Introduction: In a regression analysis, denote SST as the total sum of squares, SSR as the…

Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

A:

Q: Assume that y varies directly with x. If y = -4.8 when x= -1.6, what is the constant of variation?

A: Given, y=-4.8 and x=-1.6 Suppose that constant of variation is k. We know that y varies directly…

Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. f(x) x2-4x…

A: Given :                      f(x) = x2 - 4x + 6 Differentiate,                     f'(x)  = 2x - 4…

Q: determine the slope function S(x) for f(x)= lxl

A:

Q: Find the derivatives of the functions in Exercise

A: The given function is y=x-35+π32

Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

A:

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

A:

Q: Does the equation below define a linear function? 3 y = - when x 0 %3D --

A: A linear function have Straight line graph Equation as y=mx+c ,where m is the slope of straight…

Q: Using the definition, calculate the derivative of the function = 2t3.

A: The given function is: s=2t3

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %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 given function. y = 3t4 - 4t2 y%3=

A:

Q: For this Cost/Error Function, Write equations for 'm' and 'c' value updates in context of Linear…

A: Error = ∑(mx+c-Yo) Equation for m  Differentiate Error function with respect to m…

Q: Use the definition of the derivative, to find the derivative of y (x) x +1 x + 4 (x + 4) 1 (x + 4) 3…

A:

Q: Based on the scatterplot predict the value of y when x = 30 -mittens 10

A: From the scatter diagram, the slope of the regression is downward slope   As slope is downward,…

Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

A:

Q: ) Listen > Find the slope of the tangent line to the graph of 6x2 + y² = 25 at(-2,-1).

A: given,      6x2+y2=25  at  -2,-1

Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

Q: Consider the linear function y = ax + b. If x changes at a constant rate, does y change at a…

A:

Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

A:

Q: Suppose f(x)=4/x. What is the slope of the line tangent to f when x=3?

A: To find the slope, means to find the derivative. Formula: ddxxn=nxn-1

Q: Estimate 3√9 using a linear approximation at a=8.

A:

Q: Assume f (x) = 6 / x. What is the slope of the line tangent to f when x = −2?

A: Given: fx=y=6x; x=-2 we know that slopem of tangent at pointx=-2 is given by m=dydx|x=-2…

Q: The gradient at (-2,1) is

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

A:

Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

A:

Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

A:

Q: x = -t4 – 5t – 3 2.

A:

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: write the equation of the tangent and normal line line of the curve. huow somtion your 1 . f(x) = -…

A: