Differentiate with respect to x. ln[ (x+3)3 cos3x / sin x ] Thank You ! :) Ans : 3/(x+2) -3tan3x -cotx
Differentiate with respect to x. ln[ (x+3)3 cos3x / sin x ] Thank You ! :) Ans : 3/(x+2) -3tan3x -cotx
Differentiate the following with respect to x. cos(x+π)/sin3x Ans: [sin(x+π)sin3x +3cos(x+π)cos3x]/ sin23x Thank you! :)
Two variables x and y are related by y= ln(2+e-x) for x >0. Given that x is increasing at a rate of 3 units per second, find, in terms of e, the rate of change of y when x=1. Ans:...
The function f is defines by f(x)=sinx + cosx , for 0≤x≤2π. Find (i) The range of values of x for which f(x) is increasing (ii) The range of values...
Differentiate with respect to x. ln ((√x2 +1) -x) . Thank you! :) Ans: -1/(√x2+1)
What is the second derivative for the function y=e^(6-x^2) ? Please show workings.
I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices. Some of the parameters in my calculations are functions of time...
y=(2×³−7)^4
A curve has the equation y= (x-a)√(x-b) for x≥b, where a and b are constants. It intersects the x-axis at the point A with x=b+1. Show that the gradient of the curve of A is 1. Thank...
Derive the product rule for the differentiation of the product of three differentiable functions, that is , d/dx(f(x)g(x)h(x)). Thank You!
1. Find the slope of the function y=2cosxsin2x at x=π/2 2. Find the equation of the line that is tangent to y=x2sin(2x) at x=-π 3. Determine the second derivative for...
Identify the coordinates of any local extrema of the function y= ex-e2x
how do you find the second derivative of y=e-x^2
Given that y= (x2+1)n, where n is a positive integer, show that the ratio of dy/dx when x =1 to d2y/dx2 =1:n. Thank you!
Given that y= 1/√(x2 +3), show that (x2 +3) dy/dx +xy =0 Thank You!
Differentiate the function. p(r) = r^6 - (2/(5√r)) +r -1 Show all your work.
Given that y= x√(3-x2) , show that dy/dx = (3+2x2) / (√3+x2 ) . Is it possible to get a positive x value? My answer is (3-2x2) / √(3-x2 ) . Thank...