Solve 5x6^2=

$$5x { 6 }^{ 2 } =$$

Evaluate

$$180x$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$5x\times 36$$

Multiply 5 and 36 to get 180.

$$180x$$

Differentiate w.r.t. x

$$180$$

Steps Using Definition of a Derivative

Calculate 6 to the power of 2 and get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x\times 36)$$

Multiply 5 and 36 to get 180.

$$\frac{\mathrm{d}}{\mathrm{d}x}(180x)$$

The derivative of ax^{n} is nax^{n-1}.

$$180x^{1-1}$$

Subtract 1 from 1.

$$180x^{0}$$

For any term t except 0, t^{0}=1.

$$180\times 1$$

For any term t, t\times 1=t and 1t=t.

$$180$$