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Popular >

d/(dt)(15t^2)

Solution

\frac{d}{d t} (15 t^{2})

Solution

30 t

Solution steps

\frac{d}{d t} (15 t^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 15 \frac{d}{d t} (t^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 15 \cdot 2 t^{2 - 1}

Simplify

= 30 t

Popular Examples

derivative of x^8-x^{1/2}derivative of

x^{8} - x^{\frac{1}{2}}

integral of (10x^2-9x+16)/(x^3+4x)

\int \frac{10 x ^{2} - 9 x + 16}{x ^{3} + 4 x} d x

-3y^'+(3y)/x =x^3y^4

- 3 y^{^{'}} + \frac{3 y}{x} = x^{3} y^{4}

(dy)/(dt)=2y+y^3,y(0)=1

\frac{d y}{d t} = 2 y + y^{3}, y (0) = 1

derivative of x^{2/7}derivative of

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

Frequently Asked Questions (FAQ)

What is the d/(dt)(15t^2) ?
The d/(dt)(15t^2) is 30t
What is the first d/(dt)(15t^2) ?
The first d/(dt)(15t^2) is 30t