Tutorial Exercise\ Find the derivative of the function.\

h(x)=(4)/(x^(4))-(6)/(x^(6))+10\\\\sqrt(x)

\ Step 1\ We want to find the derivative of

h(x)=(4)/(x^(4))-(6)/(x^(6))+10\\\\sqrt(x)

. The first step is to rewrite each term of the function as a power of

x

. This gives\

h(x)=4x^(-4)\\\\sqrt(-4-6)+10x^((1)/(2))

\ Step 2\ Using the Powers of

x

Rule and the Coefficient Rule, we have that the derivative of

h(x)=4x^(-4)-6x^(-6)+10x^((1)/(2))

is given by\

Find the derivative of the function. h(x)=x44x66+10x Step 1 We want to find the derivative of h(x)=x44x66+10x. The first step is to rewrite each term of the function as a power of x. This gives h(x)=4x46x6+10x1/21/2 Step 2 Using the Powers of x Rule and the Coefficient Rule, we have that the derivative of h(x)=4x46x6+10x1/2 is given by h(x)=4()x6+6()x6+10(=x+36x+5x Viewing Saved Work Revert to Last Response