# Calculus

posted by .

Both x and y denote functions of t that are related by the given equation. Use this equation and the given derivative information to find the specified derivative.

Equation:35x^2+20y^2=1

Given that dx/dt=4, find dy/dt

when (x,y)=(1/7sqrt2, 1/5sqrt2)

• Calculus -

70 x dx/dt + 40 y dy/dt = 0

280 x + 40 y dy/dy = 0

280/7sqrt2 + 40/5sqrt2 dy/dt = 0

## Similar Questions

1. ### Calculus

find derivitive of 1/square root of x 1/square root of x = x^(-1/2) The derivative is -1/2 x^(-3/2) can you keep going on the problem to not have negative exponents?
2. ### calculus

First I would find the first derivative which is the slope and then would I plug in the given value into the original equation to find y and then use y-y_1=m(x-x_1)?
3. ### Math - derivative of sinusoidal (check)

a) Find a function y=f(x) that satisfies the differential equation dy/dx = fifth derivative. This is one of the questions in my practice test, I tried the basic equation of the trig function such as f(x)= sin(x) or f(x)=-sin(x) however …
4. ### Derivative Calculus

I just need my answers checked. 1) Find the derivative. f(x)=3x^5/4 - 8/9x^9/8 + x^2 - 9x + 1 Answer: f’(x)= 15/4x^1/4 - x ^1/8 + 2x -9 2) Let f(x)= 7x^3 - 9x. Find f’(5) Answer: f’(x)=21x^2-9 f’(5)=516 3) Find the given limit …
5. ### Calculus

Follow the steps below for the given function. (Do not use mixed numbers in your answers.) 2x + 5y = 1 Solve the equation for y. y = Differentiate this equation with respect to x. y ' = Complete the steps below to implicitly take the …
6. ### Calculus derivative

find the slope m and an equation of the tangent line to the graph of the function f at the specified point. original: x^2/x+10 point: (3,9/13) After I found the derivative: (x+10)(2x)-(x^2)(1)/((x+10))^2 How do I get the slope?
7. ### Calculus

Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -4, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) …
8. ### Calculus

Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -5, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) …
9. ### Math (Derivative)

Assume that x and y are both differentiable functions of t and the required values of dy/dt and dx/dt xy=6 a) Find dy/dt, given x=8 and dx/dt=12 b) Find dx/dt, given x=1 and dy/dt=-8 I started with a and got dy/dt=dx/dt(-y/x) Plugging …
10. ### Math (equation of tangent line)

Consider the implicit equation 2xy-1=(x+y+1)^2 a) Compute and solve for the derivative dy/dx as a function of x and y. b) Find the equation of the tangent line to the graph of the above when y=-1. For part a, I found the derivative …

More Similar Questions