Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. (If an answer is undefined, enter UNDEFINED. Round your answer to three decimal places.) y = V 8x3 + 9x, (3, 3)

Q: Find the derivative of the function.

A: y=(7x+3)4

Q: Find the derivatives of all orders of the functions y = (4x2 + 3)(2 - x) x

A: We first expand the expression

Q: Find the derivative of the function.     y = 5(2 − x3)4

A: We use the power rule and the chain rule

Q: Calculate the derivative of the function. g(x) (x2-3x- 1)-5 g'(x) (No Response) Need Help? Read It

A: Given: g(x) = x2-3x-1-5 To find: The derivative g'(x) of the given function.

Q: Find the slope of the graph of the function at the given point. Re) = t=3; G8) Use the derivative…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

A:

Q: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

A:

Q: Find the derivative of the function.

A:

Q: g(x) : 15 — х2; (1, 14)

A:

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph.

Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find the derivative of (1/t-2/t^3)/(t^2-t^5)

A: we have to find derivative of given function ,after simplification we found f(t)

Q: Find the derivative of the function given below. Simplify and write your answer as a single…

A: If the two functions f ( x ) and g ( x ) are differentiable (i.e. the derivative exist) then the…

Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

A:

Q: Find the derivative of y= 25 + 14.

A: Topic = Derivative

Q: Find the derivative of the function. 8x-9 5x +6 The derivative is y=||

A:

Q: Find the derivative of the function.

A: Given y=2x-73

Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Use the Chain Rule to find the derivative of the function. y = (2x? - 9)

A: Answer and explanation is given below...

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1.

A: Here we find equation of tangent on given curve.

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Find the derivative of h(x)=(-2x-5)3 (2x-4)5you should leave your answer in factored form. Do not…

A: Compute the derivative of h ( x ) as follows.

Q: Find an equation for the functionf that has the given derivative and whose graph passes through the…

A:

Q: Find the equation of the line tangent to the function at the given point. Your answer should be in…

A:

Q: Find the derivative of the function. y = 8x3e−x

A:

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

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: 2) Write derivatives (slope functions) for these functions y%=f(x); by hand, no calculator or Google…

A:

Q: In the given equation/s , find the slope of the graph of the function at the given point. Use the…

A:

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope will be same and there will be 2 equations.

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: Find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

A: we have to find f(3) if f"(x) = 2 and at the point (2, 6) the slope of the tangent line to f is 10.

Q: Using the definition of the slope of a tangent line, find the derivative of each function. 1. f(x) =…

A:

Q: Find f(3) if f"(x) = 2 and at the point (2,6) the slope of the tangent line to f is 10

A: Given that: f''x=2 At the points the slope of tangent line to the function is 10 So, f'x=10

Q: Find an equation of a line that is tangent to the graph of f and parallel to Function Line f(x) = x3…

A: In this question we will use basic of calculus i.e concept of application of differentiation. We…

Q: Find the function with the given derivative whose graph passes through the point P. g'(x) = - +…

A: Given,             g'(x) =6x3 + 20x4;    P1, 5

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: et Find the derivative of the function g(x) 5 – 3x Preview = (2),6 Get help: Video

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find the derivative of the function. (x) = (2x – 6)ª(x² + x + 1)5 %3D f'(x) = Need Help? Watch It

A:

Q: Find the derivative of y 5x Select the correct answer below: 25x? 6xez2 -5 25x2 5ez (6x2-1) 25x2…

A:

Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: x = -t4 – 5t – 3 2.

A:

Q: -2x sinky sitlecex) -10

A:

Q: Find the derivative of the economic functions. Show full solutions and properly name the derivative.…

A: We have to find out the derivative of given functions.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A:

Q: Q9- Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given: f(x)=x+1,   (8,3)

Q: Find the derivative of the function y=x² + 3x - 1. Attach File

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given: function fx=2x2Line 4x-y+1=0

Q: Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: