Find the slope of the graph of the relation x^2y + 4y = 8 at the point (2, 1). 1 3/ 2 1/ 2-1/2Find y' if x = cos(y). −sin^2(y) sec^2(y) −tan^2(y) −csc(y)If 2x^2 + y^2 = −2 then evaluate d^2y/dx^2 when x = 2 and y = 3. Round your answer to 2 decimal places.Find dy/dx if f(x) = (x + 1)^2x.
Accepted Solution
A:
1. Answer: 1/2 Find the slope of the graph of the relation x^2y + 4y = 8 at the point (2, 1). In exponent graph, the slope will be constantly changed so you need to determine a fixed point. The slope in point 2,1 would be: m= y/x= 1/2
4. answer = 2( x+1) ^(2) Find dy/dx if f(x) = (x + 1)^2x. In this question, the number is (x+1) power 2x. You don't need to touch the (x+1). Just do the differentiation focusing on the 2x. y= (x + 1)^2x dx/dy= 2*( x+1)^(1*2 x^1-1) dx/dy= 2( x+1) ^(2)