Solve f(x)=1*(2+74)/(sqrt{8x)^2}

$$f ( x ) = \frac { 1 \times ( 2 + 74 ) } { ( \sqrt { 8 x } ) ^ { 2 } }$$

Evaluate

$$\frac{19}{2x}$$

Solution Steps

Add 2 and 74 to get 76.

$$\frac{1\times 76}{\left(\sqrt{8x}\right)^{2}}$$

Multiply 1 and 76 to get 76.

$$\frac{76}{\left(\sqrt{8x}\right)^{2}}$$

Calculate \sqrt{8x} to the power of 2 and get 8x.

$$\frac{76}{8x}$$

Differentiate w.r.t. x

$$-\frac{19}{2x^{2}}$$