At the indicated point for the function, find the following y = (x3 + 2x)3 at x = 2

Question

Question

At the indicated point for the function, find the following. (Round your answers to the nearest whole number.)

y = (x³ + 2x)³ at x = 2

(a) Find the slope of the tangent line at the given value.

(b) Find the instantaneous rate of change of the function at the given value.

math calculus

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were...

19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 6. (b) Find the slope of the tangent to the graph of y = f(x) at x = 6. (c) Find the point on the graph of y = f(x) at x = 6. (x, y) =...
The tangent line to the graph of f(x) at x 1 is shown. On the tangent...

The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If...

Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only th (xy)2 + xy - x = 3,(-3,0) (a) the expression of the slope of the tangent line in terms of x and y dy. -2012 – y + 1 dx2xy + x (b) the equation of the tangent line at the indicated point on the graph y = Use implicit differentiation to find the following. (Round answers to four decimal place In(x...

Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find...

Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find the equation of the tangent line to the function (on left) at point (-1, f(-1)). 6) Calculate the slope of the tangent line to the function (on right) at point (1,1). 1- . 0,5 1 1.5 1 ST -1,8-1,694 -12 -1 -6.8-06-11-02 BIG 1 112 1,6 10
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...

x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the...

Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the derivative of the function. f(t) = ť(In(t))? f'(t) = Preview If f(a) = 8 ln(4x), find a. f b. Rounded to the nearest whole number: f(e) c. Rounded to the nearest whole number: f'(e) = d. sing your results for f(e) and f'(e), find the equation fo the line tangent to the curve f(x) at the point (e, f(e)). Round decimals to the nearest...

(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use...

(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use logarithmic differentiation to find dar dy dx b) Find the slope of the tangent line at x = = 1. Slope = C) Find the equation of the tangent line at x = 1. Tangent line: y
1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find th...

can you answer two of the questions in the phot please. 1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from...

2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.

ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...

ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...