Type a math problem

This site uses cookies for analytics, personalized content and ads. By continuing to browse this site, you agree to this use. Learn more

Type a math problem

Evaluate

12\left(a-1\right)

$12(a−1)$

Steps Using Derivative Rule for Sum

\frac { d } { d a } ( 6a ( a -2) )

$dad (6a(a−2))$

Use the distributive property to multiply 6a by a-2.

Use the distributive property to multiply $6a$ by $a−2$.

\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}-12a)

$dad (6a_{2}−12a)$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{\left(n-1\right)}.

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax_{n}$ is $nax_{(n−1)}$.

2\times 6a^{\left(2-1\right)}-12a^{\left(1-1\right)}

$2×6a_{(2−1)}−12a_{(1−1)}$

Multiply 2 times 6.

Multiply $2$ times $6$.

12a^{\left(2-1\right)}-12a^{\left(1-1\right)}

$12a_{(2−1)}−12a_{(1−1)}$

Subtract 1 from 2.

Subtract $1$ from $2$.

12a^{1}-12a^{\left(1-1\right)}

$12a_{1}−12a_{(1−1)}$

Subtract 1 from 1.

Subtract $1$ from $1$.

12a^{1}-12a^{0}

$12a_{1}−12a_{0}$

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

For any term $t$, $t_{1}=t$.

12a-12a^{0}

$12a−12a_{0}$

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

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

12a-12

$12a−12$

Share

Copy

Copied to clipboard

\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}-12a)

Use the distributive property to multiply 6a by a-2.

2\times 6a^{\left(2-1\right)}-12a^{\left(1-1\right)}

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{\left(n-1\right)}.

12a^{\left(2-1\right)}-12a^{\left(1-1\right)}

Multiply 2 times 6.

12a^{1}-12a^{\left(1-1\right)}

Subtract 1 from 2.

12a^{1}-12a^{0}

Subtract 1 from 1.

12a-12a^{0}

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

12a-12

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

Back to top