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287 Answered Questions for the topic Derivatives

Derivatives Calculus Limits

06/18/16

L HOPITALS and derivative

ive got 3 questions   lim x approaches positive 1 (sq rt of x^2 - 1) / (arcsecx)   lim x approaches 0  2arctan3x^2 / 7x^2     initial value prob   dy/dx=1/(x^2+1) -1     I NEED HELP... more
Derivatives Calculus Calculus 1

06/17/16

Find all the second partial derivatives of the function below. (Hint: there are 4)

Having difficulty finding them I can only find one       ??(??,??)=2??^5 ??^2+??^2 ??

What is application of derivatives in atual life

If y=eloge(log x)2                Fine    dy/dx .          What is used of ??sum in atual life 
Derivatives

06/09/16

If y=x^3+3x and dx/dt=7. Find dy/dt when x=4.

If y=x^3+3x and dx/dt=7. Find dy/dt when x=4.
Derivatives Calculus

06/04/16

find the derivative?

g(w)=e^w(5w^2+3w+1)
Derivatives Calculus

05/26/16

given f(x)=x^8h(x) and h(x)=2 and h'(x)=5, find f'(-1)

it says to use the power rule as well as the product rule. i know how both of those rules work but not how they work into this particular problem.
Derivatives

05/24/16

Find dy/dx by implicit differentiation

tan³(xy²+y) = x
Derivatives Calculus 1

05/24/16

Find an equation for the tangent line to the graph at the specified value of x

1 - y = xcos3x; x = π   2 - y = sec 3 (π/2 - x); x = -π/2   3 - y = Tan(4x 2  ); x = √π     Hey guys please help me with these ones, i am studying for finals, if possible try to solve them... more
Derivatives Pre Calculus

05/15/16

Derivative

If f(x)=8x^3-2x-6, approximate the derivative at x=2 using a forward difference approximation of (f(x+0.01)-f(x))/0.01   f'(2)=?????    Would you please explain how to solve this problem? 
Derivatives Graphs Of Functions

05/03/16

Derivatives & the Shapes of Graphs

1. Answer the questions below based on the following information about the function f . You must justify youranswers.(i) The function f is continuous and differentiable for all values of x.(ii)... more

04/22/16

PROFIT FUNCTION IN CALC

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more
Derivatives Word Problem Calculus 1

04/21/16

Could someone help me with this calculus rate problem?

Water is leaking out of an inverted conical tank at a rate of 10100.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9.0 m and the the... more

04/21/16

Finding two part derivative/tangent line

So I'm supposed to graph the given function at the tangent line at the given point, which I know how to do with an explicit/one part function but not an implicit/two part function.The function... more
Derivatives

03/27/16

find derivative---

f(x)=lnx/x2
Derivatives Calculus Algebra

03/08/16

Finding numeric values of variables A & B from an equation

An amusement park designs a roller-coaster ride based on the function f(t)=at^2-bt+20, where t is the time of the ride in seconds. The designer wants to achieve the speed f'(1)=10 mph, and... more
Derivatives

02/27/16

The Derivative

Compute The Derivative of the given function and find the equation of the tangent line that is tangent to it's graph for the specified value x=c14.) f (x) = 3; c= -416.) f(x) = 3x; c=1   find the... more
Derivatives

02/27/16

derivative of y=x^3sinxcosx

im confused because these are three products dont know how to use chain rule or product rule with it pls show step by step procedure thanks
Derivatives

02/27/16

Differentiate the Given function. Simplify the Answer and show solution:

18.) f(x) = 1/4 x^8 - 1/2 x^6 - x +2 and 20.) f(u) = 0.07u^4 - 1.21u^3 +3u - 5.2   210) f(x) = (x+1/x)^2Thank you your a blessing God bless.
Derivatives Calculus 1

02/23/16

I'm not allowed to use the Chain rule in my midterm, what else can I do to find the derivative of f(g(x)) functions?

I am quite puzzled because I was just told by my professor that we won't be allowed to use the Chain rule in the exam, but in the practise exam they gave us functions like y=e^3x+x to... more
Derivatives Calculus 1

02/21/16

F'(x) = t'^4/4-t^3+t^2

pls help me find the derivative thanksss
Derivatives Calculus 1

02/14/16

Find the derivative of r = 2(1/sqrt theta + sqrt of theta)

i got -1/theta(sq rt of theta) + 2 sq rt of theta howeverrrrr back of the book says 1/theta sq rtof theta + 1/2 sq rt of theta. Pls help and show solution please!
Derivatives Calculus 1

02/14/16

Find the 1st and second derivative of y=x^3/3+x^2/2+x/4

My answer is x^2/9+x/4however back of the book says x^2+x
Derivatives Calculus Limits

01/16/16

Let f(x)= x^1/2. Find f'(9) using the definition f'(a)=limex->a f(x)-f(a)/x-a

I am stuck can you please help?   So far I have limx->9√x-√9                               x  -9                               =x(x^-1/2)-(3/x)                              ... more
Derivatives Calculus Chain Rule

01/16/16

Using chain rule and product/quotient rule, find derivative of sin(3x^2)/x when x=(squareroot of pi)

sin(3x^2)x^-1   this is how far I got.  when do I sub in √pi ? what do I do next?

01/16/16

The expression f(a+h)-f(a)/h is called the

a)instantaneous rate of change of f at a b) difference quotient of f at a c)definition of f'(a) d)secant line of f at a   I tried a) and c) but they're wrong.   What is it supposed to be?
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