141 Answered Questions for the topic Derivative

Calculus 1 Question

Let f(x)={(7x-9x^2 for x<0), (6x^2+7x for x>=0)}According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limitlim x->0- ____________ which is... more

Simplifying exponential functions

What rules would I have to refresh on to learn how to simplify this or can someone provide the process for this.

What is the derivative of f(x) = ln (3x +1)?

More derivatives because I am yet still lost on what I'm doing

Let f(x) = x3-15x. Calculate the difference quotient f (3+h) - f (3)----------------- h h = 0.1 _______h = 0.01 ______h = -0.1 ______h = -0.01 _______If someone now told you that... more

Lost of derivatives or just calcuslus in general

For the function y=4x2a) Find the average rate of change of "y" with respect to "x" over the interval [5,8]b) Find the instantaneous rate of change of "y" with respect to "x" at the value... more

Lost on derivatives

Let f(x) = 7x2a) Find: f(x+h) = _____b) Find: f(x+h)-f(x) = _____ f(x+h)-f(x)c) Find: ------------- = _____ hd) Find: f '(x) = ______

Lost at limits and derivatives

Assume that f(x) is everywhere continuous and it is given to you thatlim f(x)+6 --------- = -10x->3 x-3It follows that y = _______ is the equation of the tangent line to y... more

Lost at derivatives

Suppose you deposit 300 dollars into a bank with 6% simple interest. The amount in the account after years is given by A(t)=300(1.06)t . (in dollars)a. What is the average rate of change for the... more

What is the derivative of g(x) = (cos x)^4?

What is the derivative of f(x) = cos (x^4)?

Lost on Derivatives

A laboratory study investigating the relationship between diet and weight in adult humans found that the weight of a subject, W, in pounds, was a function, W=f(c) of the average number of... more

Literally Lost on Derivatives about to be a spam of questions but would love your help

The line tangent to the graph of g(x)=x3-4x+1 at the point of (2,1) is given by the formula.L(x)=8(x-2)=1Which of these statements are true?a. The functions have the same -intercept.b. The... more

Plz Help w Derivatives

According to , the rate of change of an object's temperature is proportional to the difference between the temperature of the the object and that of the surrounding medium. The accompanying... more

Plz Help with Derivatives

Let f(8)=4 and f'(8)= -1Then the equation to the tangent line of the graph y=f(x) at x=8 is y= _________

Find an equation of the tangent line at the given point.

xy+x^2y^2=6(2,1)

Calculus problem

Use the limit definition of the derivative to differentiate g(x)=8x-x^2

Calculus problem

Use the limit definition of the derivative to find the standard form equation of the tangent line to f(x) = 2x^2-5x-9 at x=3

Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^3+2xy=60 at the point (5,2)

I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the tangent line to the curve at the given point is _____.

Find the slope of the tangent line to the curve defined by 9x^3+4xy−6y^2=1752 at the point (6,−4).

This is a derivative but I don't know how to do this question! I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the curve at the point (6,-4) is_____.

Find the derivative of f(g(x)) and g(f(u))

f(u)=cosug(x)=x^2+1

Compute f'(x) in three different ways

f(x)=(2x^2-5)^21.) multiplying out and then differentiating2.) Using the product rule3.) Using the chain ruleShow that the results coincide

Use product rule to calculate derivative

h(s)=(s^-1/2+2s)(7s-s^-1)

Calculate the Derivative in Two Ways

First use the Product or Quotient Rule. Then rewrite the function algebraically and directly calculate the derivative.h(t)= (t^2-1)/(t-1)

Compute f'(a) in two ways

f(x)=x3+2x a=1
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