356 Answered Questions for the topic Derivatives

Derivatives Math Derivative

09/23/16

derivative at a number

Find the derivative of f(x) = sqrt(36-x^2) / 9x when x=2

09/16/16

Calculus 2 The Fundamental Theory of Calculus help

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫cos(u2)du for b=4x and a=cos(x). I don't quite understand what to do here.
Derivatives

08/23/16

how do you workout the derivative of the following function using the power rule: y=3000(1-x/20)^2

y=3000(1-x/20)2

08/09/16

what are the first and second derivatives of the equation: 3x^4y^3-4x^3+7y^2-13

Pretty straight forward, but i am having trouble. You help would be much appreciated
Derivatives Antiderivative

07/23/16

find the function F that satisfies the following differential equations.

f'''(x)=4x, f''(0)=0, f'(0)=1, f(0)=3
Derivatives

07/02/16

find the higher order derivative:

d^n/dx^n (2^x)

07/02/16

is there any horizantal tangent line in this function?

y=x^sqrtx
Derivatives Calculus Logarithms

07/02/16

find the derivative of the function

y=4^-x *sinx
Derivatives Calculus Cosine Sine

06/26/16

use version 2 of the chain rule to calculate the derivative of the following function

y=cos^4 *x+sin^4 *x
Derivatives

06/22/16

Use interval notation to indicate where f(x) is concave up and down

If f(x)=(x-3)/(x^2)   Use interval notation to indicate where f(x) is concave up and down
Derivatives

06/22/16

Use interval notation to indicate where f(x) in increasing

f(x)= 4x - 2 / x+7 Use interval notation to indicate where f(x) is increasing and where it is decreasing   ALSO   use interval notation to indicate where f(x) is concave up or down

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

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

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