Find the first order derivatives.

Question

f(x,y)=x^4+6√y-10

w=x^2.y-(10y^2).(z^3)+43x-7tan(4y)

h(s,t)=(t^7)ln(s^2)+(9/t^3)-s^(4/7)

f(x,y)=cos(4/x).e^(x^2.y-5y^3)

Answer 1

dF/dx = 4x^3

dF/dy = 3 y^(-1/2)

dW/dx = 2x + 43

dW/dy = 1 - 20y - 28 sec^2 (4y)

dW/dz = 3z^2

dH/ds = 2*t^2/ s - (4/7)s^(-3/7)

dH/dt = 7t^6 * ln s^2 + - 27t^(-4)

dF/dx = -sin(4/x) (-x^(-2)) e^(x^2 - 5y^3) + cos(4/x) e^(x^2 y - t^y^3) (2xy)

dF/dy = cos(4/x) exp(x^2 - 5y^3) (x^2 +15y^2)