√(1-sinx)=(1-sinx)1/2
Chain rule: d/dx(ux)=x(u)x-1*d/dx(u)
d/dx(1-sinx)1/2=(1/2)(1-sinx)1/2-1*d/dx(1-sinx)
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*d/dx(1-sinx)
-The derivative of 1-sinx is:
d/dx(u-v)=du/dx-dv/dx
d/dx(1-sinx)=d/dx(1)-d/dx(sinx)
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*[d/dx(1)-d/dx(sinx)]
-The derivative of 1 is 0 because it is a constant.
-The derivative of sinx is:
d/dx(sinu)=cos(u)*d/dx(u)
d/dx(sinx)=cos(x)*d/dx(x)
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*[0-(cos(x)*d/dx(x))]
-The derivative of x is:
d/dx(xn)=nxn-1
d/dx(x)=1*x1-1
d/dx(x)=1*x0
d/dx(x)=1*(1)
d/dx(x)=1
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*[0-(cos(x)*1)]
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*[0-(cos(x))]
d/dx(1-sinx)1/2=(1/2)(1-sinx)-1/2*[-cos(x)]
d/dx(1-sinx)1/2=(-cosx)/[2√(1-sinx)]
The square root of x = x to the power of a half
the derivative is 0. the derivative of a constant is always 0.
The derivative of sqrt(2) is zero.
Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.
3/(4*square root(x)) ....Mukesh
The derivative of cos x is -sin x, the derivative of square root of x is 1/(2 root(x)). Applying the chain rule, the derivative of cos root(x) is -sin x times 1/(2 root(x)), or - sin x / (2 root x).
3
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
The derivative, with respect to x, is -x/sqrt(1-x2)
The derivative of any constant - any expression that does not involve the independent variable - is zero.
If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)
-1/(2*x2)