Using the first and second derivatives, sketch a graph for y=x^4-4x^3+1.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: Illustrate Derivative Product Rule?

A: To illustrate Derivative Product Rule.

Q: derivative of 7x^4sqrt(x)+3/(x^3sqrt(x))

A: Let's call the given expression as y. Also recall the rule of exponents: Pa x Pb = Pa+bPlease see…

Q: • Why do we need the Chain Rule in implicit differentiation? Show with an example and describe how…

A:

Q: derivative of (√2)^csc4x

A:

Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

A:

Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: We differentiate y using the quotient rule

Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: slope of the function y=f(x) is m = f'(x). Quotient rule of differentiation : ddxuv =…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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

Q: Using the Limit Definition of the Derivative determine the derivative of the function below f(x)…

A:

Q: Determine the relative extrema using the Second derivative test. Find the point of inflection www y…

A: Let the function be, y=x(x2-5)2 Find the critical points using dydx=0 dydx=x2(x2-5)×2x+(x2-5)2…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Use symmetry, first derivative, second derivative, and asymptotes to graph function:y: 2-x

A: The given function is y=x2-12-x ...............(1)

Q: derivative of √x²-4 - 2arcsex x/2, 2<x<4

A:

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y…

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope &amp; equation of tangent line.

Q: se LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: (x) = -2x 1 at point…

A: Topic:- calculus and geometry

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: given: the equation of the function f(x)=8x2. the given point is (2,2)

Q: In own words, explain what is the Second Derivative Test? Use a graph to illustrate your…

A:

Q: Sketch graph also determine the location of critical point and determine its nature? (Second…

A:

Q: What is the rule for calculating the derivative of a composition of two differentiable functions?…

A: Let f(x) and g(x) be two differentiable functions and their composition is

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: y=2x4-3 ; Point (1,-1)Formula:ddxxn=n xn-1

Q: Derivative of Y=tanxcosx

A: Given problem:- Derivative of Y=tanxcosx

Q: Using the first and second derivatives, sketch a graph for y=x^2-4x+10

A: Given equation  y=x2-4x+10 Apply power rule to find first and second derivative f'(x)=2x-4f''(x)=2…

Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0| 1.5 6 7 1.0 0.5 0.5…

A: See the details solution in below

Q: en equation using

A:

Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

Q: how do i identify which is the first derivative, second derivative, and original graph

A: Given information: Draw the graph with labeled points.

Q: derivative of y=csccsc7x

A: Given:- y=csc(csc(7x))  To find :- Derivative of y

Q: Derivative of ln[cosx/4-3x^2]

A:

Q: Write the equation of the tangent line to the graph of the function y = 3cosxsinx Leave equation in…

A: y = 3cosxsinx The derivative of any function represents the slope of the tangent line of that…

Q: How to calc derivatives using chain rule

A: Chain rule is used to calculate the derivative of composite functions.

Q: using logarithmic differentiation, find the derivative of y=x(2-x)

A: TO FIND THE DERIVATIVE OF   Y=X(2-X) 1. TAKE 'LOG' ON BOTH SIDES. 2.DIFFERENTIATE WIYH RESPECT TO…

Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

A: Given function is  fx=x4−4x3+1

Q: Derivative - 16sin4x

A: Given: 16sin4x

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given function is f(t)=2-4t.

Q: Find the first derivative by increment method. Show your complete solution V7x – 12 Upload your…

A: The given function is 7x-12

Q: find and evaluate the derivative of the function at the given point. Use a graphing utility to…

A: Given,            ft=3t+2t-1 , 0,-2

Q: draw the function and its derivatives. explains why of its derivatives:   y=cosx

A: Given y=cosx

Q: Find the derivative of the function. f(x) = arcsec(7x)

A: Given function is f(x)=sec-17x

Q: Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

A: The given function is: f(x)=(x)(1-2x)3 And, at point (1,-1), we have to find the equation of the…

Q: 2- 3x-I

A:

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: derivatives as functions of

A:

Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

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: