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.) f(x) = (6, 5/36) (x2 - 5x)2

Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: f (x) = (x² – 1)**1

A:

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Find the derivative of the function at the given point (a) by approximating the definition of the…

A: Given: f(x)=x1x   To prove: Find the derivative of the function at the given point (a) by…

Q: For the function f(x) = 4x² – 11x – 3: (a) Find the derivative of f at x = 2. (b) Find an equation…

A:

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

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

A:

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

A:

Q: Find the derivative of function defined as follows. k(x) = -9(5x2+ 3)-6

A:

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-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

A:

Q: The derivative of the function f(x) = 4x-1 is

A:

Q: Given f(x) = -x – 8, find f' (9) using the definition of a derivative. Provide your answer below:…

A:

Q: Find the derivative of the function and evaluate f(x) at the given value of x  f(x)=(3x-2)(x^2+3);…

A: Use the derivative of the form f = uv.

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

A:

Q: Find the absolute maximum and minimum, if either exists, for f(x) = x - 8x + 9. Find the first…

A:

Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

A:

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

A:

Q: Find the derivative of function defined as follows. p(x) = -10x-1/2 + 8x-3/2

A: we have to find the derivative of the function defined as  P(x)=-10x-12+8x-32

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

A:

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

A:

Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Q2/ Find the derivative of the function f(x) V4-x2 by definition

A: The derivative of a function f(x) with respect to x is given by limh→0fx+h-fxh. The given function…

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

A:

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

A:

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

A:

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

A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

A:

Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

A:

Q: Given the graph of the function f(x) below, estimate the derivative of the function at z = -2.…

A: As we know that, The derivative of the function at a point is equal to the slope of the tangent line…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Select the correct graph of the derivative of the functionf (x) given below. -4 -2

A:

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

A:

Q: Find the derivative of the following function by applying the definition of the derivative. State…

A:

Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Q2/ Find the derivative of the function f(x) =V5- x2 by definition

A: →When limit is of the form 00or∞∞ (Indeterminate form ) then L Hospital's rule is used . In this…

Q: Find the derivative of the function f(x) = 3x−1

A:

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

A:

Q: Find the derivative of the function and evaluate f '(x) at the given value of x. f(x)=5x+4/5x-4;x=5…

A:

Q: 5- Зх f(x) = 5+ 3х

A:

Q: Find the derivative of the function. g(x)=(4x5+1)4

A: We have gx=4x5+14Using power ruleddxxn=nxn−1

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: