Given the function below f(x) = V-363 + 63 1. Answer in mx b form Find the equation of the tangent line to the graph of the function at L(a) = Preview Use the tangent line to approximate f(1.1) L(1.1) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only error (Approximate to at least 5 decimal places.)

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the…

A: The given curve is: f(x)=6x+15-15ex

Q: When the centered difference approach of f (x) = sin r - a+1 is used to estimate the first…

A: When the centered difference approach of f(x) = sinx-x³+1 is used to estimate the first derivative…

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: 1. Determine the points where the slope of the tangent to the curve: a. f(x) = 1- 3x² is equal to 5…

A:

Q: ) Find the equation of the tangent line to f(x)= (36+2x2)-1/2 at x=0  y= (b) Use your answer to…

A: We use the fact that f(X) is approximately equals to f(a)+ f'(a)(x-a), which is tangent to line to…

Q: Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of…

A: Ta which value of x the slope of tangent line the greatest.

Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

A:

Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…

A: Explanation of the answer is as follows

Q: Find all value of x for the given function defined by y=2x³ – 6x where the tangent line is…

A:

Q: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

A:

Q: 5. Find the equation of the tangent line to the graph of the function f(r) = 5- z at the point where…

A:

Q: The equation of the tangent line to the graph of f(x) = Vx+1 At the indicated point (3,2) is:…

A: By using the derivative and slope intercept form required tangent equation is :

Q: 1. Consider the function f (x) = 2(3x³ – 2x²)5. %3D a. Differentiate the function. b. Find the slope…

A: 1) Given: the function fx=23x3-2x25.

Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: Find the slope of the tangent to the graph of the following function at the point (e^2,4). Give your…

A:

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

A:

Q: 3. Let f(2) = 1+ 2e" – 3x. At what value(s) of a does f(x) have a horizontal tangent line? Give…

A: Differentiating given function with respect to x, we get

Q: find the tangent to the curve f(x)e%*-2% at X=-1. Express answer exactly in terms of e (not a…

A:

Q: Find the linear approximation of the function g(x) = 1+x at a = 0 and use it to approximate the…

A: We will find g'(x) using the power rule

Q: Given the function: f(x) = V72x° + 144, find the equation of the tangent line, or linear…

A:

Q: Consider the function f(x) = x² – 3x + 5. Out of all the many tangent lines of f (x), determine the…

A:

Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

A:

Q: Given the function below f(x)=3√−243x^3+972 Find the equation of the tangent line to the graph of…

A: Given that, The function f(x) is following, f(x)=3-243x3+972 We have to find the equation of…

Q: For which value(s) of x does f(x)=4x33+2x2+7x−21 have a tangent line of slope 6? Select all correct…

A: we have to find value of  x at which f'(x)=6

Q: Given the differentiable function y= f (x) you need to find the equation of the tangent line to the…

A:

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

A:

Q: 19 Find all x-values where the tangent line is horizontal for the function v(x) = x3 − 12x + 10

A:

Q: If y = f(x) has slope  −4  at x = 3, and y value 5 at x = 3, a) write the formula for the tangent…

A: (a) To write: The formula for the tangent line to f(x) at x=3. Given information:  If y = f(x) has…

Q: Given the function below f(x) = V162x" + 567 Find the equation of the tangent line to the graph of…

A: The given function is- fx=162x3+5673 Differentiating w.r.t. 'x' to both sides-…

Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

A:

Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…

A:

Q: 2. Given f(r) = Va + 49. a) Find slope of tangent line to f(r) at the point (0, 7) by using the…

A:

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: 1. For the function f(x) = 3x² + 8x – 7, (a) Find the slope of f(x) at x = 3 (b) Find equation of…

A:

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

A:

Q: Given the function below f(x) = V180x³ + 36 Find the equation of the tangent line to the graph of…

A:

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your…

A: see below the answer and explanation

Q: Find the equation of a line tangent to the given functions at the given points of tangency. 1) f(x)…

A:

Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = 3(8x − 2)4 y…

A: Given:The function f(x) = 3(8x−2)4.The point (2, f(2)).

Q: Find the equation of the tangent line to the function f(x) = r + 3z++4 at the point where x =-2.…

A: Given : fx = x3+3x2+x+4

Q: 13. Given the function f(x) = 4 + x? %3D Find the 8x + 2 equation of the tangent line to the curve 1…

A:

Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1.…

A:

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π/4 Give your answer in…

A:

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

A:

Q: The slope of the tangent line to the graph of the function y = 8/T- 4 at (16, 28) is O 4 O -1.75 O…

A: Slope : It is the Differentiation of y with respect to x at a given point.