287 Answered Questions for the topic Derivatives

#### 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...
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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 ??

Derivatives Derivatives Of Logarithmic Functions

06/11/16

#### 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

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 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...
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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)...
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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...
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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...
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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...
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#### 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...
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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...
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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...
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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

#### 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)
...
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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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