Solve x^2,4x^5,0

$$x ^ { 2 } , 4 x ^ { 5,0 }$$

Differentiate w.r.t. x

$$\frac{14x^{6}}{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{7}\times 0,4)$$

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

$$7\times 0,4x^{7-1}$$

Multiply 7 times 0,4.

$$2,8x^{7-1}$$

Subtract 1 from 7.

$$2,8x^{6}$$

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.

$$x^{7}\times 0,4$$