Solve 5x^2*7^7

$$5 x ^ { 2 } \times 7 ^ { 7 }$$

Evaluate

$$4117715x^{2}$$

Solution Steps

Calculate 7 to the power of 7 and get 823543.

$$5x^{2}\times 823543$$

Multiply 5 and 823543 to get 4117715.

$$4117715x^{2}$$

Differentiate w.r.t. x

$$8235430x$$

Steps Using Definition of a Derivative

Calculate 7 to the power of 7 and get 823543.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}\times 823543)$$

Multiply 5 and 823543 to get 4117715.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4117715x^{2})$$

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

$$2\times 4117715x^{2-1}$$

Multiply 2 times 4117715.

$$8235430x^{2-1}$$

Subtract 1 from 2.

$$8235430x^{1}$$

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

$$8235430x$$