432 Answered Questions for the topic Derivative

Derivative Calculus

03/18/20

I'm stuck trying to figure out how to solve for a derivative. Any help would be greatly appreciated.

The problem I am stuck on is: d/dx sinh(x3).I know the derivative of sin(x) is cos(x) and the derivative of x3 is 3x2, but I am getting stuck on the h part and putting it all together. Thanks again... more
Derivative Calculus

03/05/20

Calculus - related rates

20 foot ladder that is resting on a wall. The ladder is resting at 5 ft away from the wall. The bottom is pulling away at 24 ft/sec. Find dy/dt and dthetha/dt.
Derivative Calculus

02/24/20

How to find the derivative of a function using TI-84

Is there a way to use a TI-84 to find the derivative of an equation not at a specific point?For example: find the derivative of y = t^2 - 2Y'=so the answer would be 2t but is there a way to type... more
Derivative Math Exponents

02/06/20

What is 2x • x^1\2

Simplify step by step plz

02/06/20

Graphical Interpretation of the derivatives

Just started a new topic, need a little help with the following:The graph of the function y=x^3+ax^2+bx+c passes through (1,1) and has turning points at x= -1 and x= 3. Find the values of a, b and c
Derivative

12/29/19

Finding the derivative

Please help me find the derivative of this equation:f'(x) = -9x2 - 12x

12/14/19

How do I solve these derivative problems?

Find tangent line at point (4,2) of the graph of f^-1 (inverse f(x)) if f(x)=x^3+2x-8?Find the equation of the tangent line to the inverse at the given pointa) f(x)=x^3+7x+2 @(10,1)b) f(x)=... more
Derivative Math Calculus

11/30/19

Minima and Maxima - which of the following statements are true?

A - If f'(a) = 0 then f(x) has either a local maximum or a local minimum at x = aB - If f'(a) = 0 and f''(a) = 0, then f(x) has an inflection point at x = aC - If f'(x) < 0 for all x in the... more
Derivative Calculus

11/22/19

Use the Second Derivative to determine if y=arcsec(6x^2) is concaved up, concaved down, or has no concavity at x=4.

Use the Second Derivative to determine if y=arcsec(6x^2) is concaved up, concaved down, or has no concavity at x=4.

11/18/19

First order derivatives

f(x,y)=xy-5x+2y+31. fx2. fy3. fxx4. fyy5. fyx6. fxy
Derivative Calculus

11/13/19

Determining decreasing/increasing intervals

True or False: The f(x)=−2ln(x+3.5) is always increasing for all x>−3.5. Enter "true" for true, or "false" for false. i cant figure this out because the derivative of this function is -2/x+3.5... more
Derivative

11/07/19

Derivative confusion

At noon, ship A is 180 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM? 
Derivative Calculus

11/01/19

What is the derivative of f(x) = (x^2 + 1)^2 at (1, 4)?

Derivative Calculus Trigonometry

11/01/19

What is the derivative of f(x) = - cos 2x?

10/23/19

Let f(x) = xe^x

Find f '(x), f "(x), and f "'(x). Based on your results, find a general formula for f^n (x).

10/23/19

Find the derivatives

Find dy/dx:1.) y = (tanx) / (1+xtanx)2.) y = cot(x^2)+sec^2x3.) x^3 -xy +y^2 =44.) y = xarctanx

Using logarithmic differentiation

Find the derivative:f(x)= ((x+2)^2(x^2+3)^5)/(x√x^2+4)

Derivatives and the Product Rule

y=x^3 ln x + (e^2x +cos^2 x)^4

10/23/19

Definition of the Derivative

Compute f'(x)f(x)=x^2-5x+7
Derivative Math Calculus

10/23/19

Help Derivatives plz bouta drop this class (Answers and explain plz you trying to tell me what I should know versus with what I do is not helpful at all)

Find the equation of the tangent line to the curve y = x4+6ex at the point (0,6)y = _________
Derivative Math Calculus

10/23/19

The equation of this tangent line can be written in the form

Find the equations of the tangent line and normal lines to the graph of the function f (x) = 12x + 7 at x = 12a) tangent line y: ______b) normal line y: ______
Derivative Math Calculus

10/23/19

The equation of this tangent line can be written in the form

f (x) = 4x2-4(A) Find the slope of the line tangent to f(x) at x = - 2: _______(B) Find the instantaneous rate of change of f (x) at x - 2: ________(C) Find the equation of the line tangent to f... more
Derivative Math Calculus

10/23/19

Derivatives Plz Help I'm close to dropping but this is required

let f(x) = 1/x. Compute f ' (-1)answer: ________Use this to find the equation of the tangent line to the hyperbola y = 1/x at the point (-1,-1.000). The equation of this tangent line can be written... more

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