Take the derivative of (3x+1)1/2
First use the power rule on the entire function, then multiply it by the derivative of the inside:
(1/2)(3x-1)-1/2(3) = (3/2)(3x-1)-1/2
which can also be written as
3/(2sqrt(3x-1))
(sqrt stands for square root)
Chat with our AI personalities
The square root of x = x to the power of a half
48
No, it is not. It is half of it.
The derivative of 2^x is 2^x * ln2 so the derivative of 2^cosx * ln2 multiplied by d/dx of cox, which is -sinx so the derivative of the inside function is -sinx * 2^cosx *ln2. As to the final question, using the chain rule, d/dx (2^cosx)^0.5 will equal half of (2^cosx)^-0.5 * -sinx * 2^cosx * ln2
-(1/2)X^2 [negative half X squared]