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Popular >

derivative of 66^t+22t

Solution

derivative of

6 \cdot 6^{t} + 2 \cdot 2 t

Solution

ln (6) \cdot 6^{1 + t} + 4

Solution steps

\frac{d}{d t} (6 \cdot 6^{t} + 2 \cdot 2 t)

Simplify

6 \cdot 6^{t} + 2 \cdot 2 t : 6^{1 + t} + 4 t

= \frac{d}{d t} (6^{1 + t} + 4 t)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (6^{1 + t}) + \frac{d}{d t} (4 t)

\frac{d}{d t} (6^{1 + t}) = ln (6) \cdot 6^{1 + t}

\frac{d}{d t} (4 t) = 4

= ln (6) \cdot 6^{1 + t} + 4

Popular Examples

integral of (sin(3x))/(csc^2(4x))

\int \frac{sin ( 3 x )}{csc ^{2} ( 4 x )} d x

(dy)/(dx)=(1-y)/(1-x)

\frac{d y}{d x} = \frac{1 - y}{1 - x}

(\partial)/(\partial v)(2vsin(u))

\frac{\partial}{\partial v} (2 v sin (u))

inverse oflaplace 1/(s^2-s)inverse laplace

\frac{1}{s ^{2} - s}

limit as x approaches 1/5 of x/(10x-2)

x \to \frac{1}{5} lim (\frac{x}{10 x - 2})

Frequently Asked Questions (FAQ)

What is the derivative of 6*6^t+2*2t ?
The derivative of 6*6^t+2*2t is ln(6)*6^{1+t}+4
What is the first derivative of 6*6^t+2*2t ?
The first derivative of 6*6^t+2*2t is ln(6)*6^{1+t}+4