Solve 7^2*4x

$${ 7 }^{ 2 } \times 4x$$

Evaluate

$$196x$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$49\times 4x$$

Multiply 49 and 4 to get 196.

$$196x$$

Differentiate w.r.t. x

$$196$$

Steps Using Definition of a Derivative

Calculate 7 to the power of 2 and get 49.

$$\frac{\mathrm{d}}{\mathrm{d}x}(49\times 4x)$$

Multiply 49 and 4 to get 196.

$$\frac{\mathrm{d}}{\mathrm{d}x}(196x)$$

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

$$196x^{1-1}$$

Subtract 1 from 1.

$$196x^{0}$$

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

$$196\times 1$$

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

$$196$$