Solve b^2*-4b^3

$$b ^ { 2 } \cdot - 4 b ^ { 3 }$$

Differentiate w.r.t. b

$$-20b^{4}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{5}\left(-4\right))$$

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

$$5\left(-4\right)b^{5-1}$$

Multiply 5 times -4.

$$-20b^{5-1}$$

Subtract 1 from 5.

$$-20b^{4}$$

Evaluate

$$-4b^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$b^{5}\left(-4\right)$$