What is the derivative of 4*(3/2)^x ?

The derivative of 4*(3/2)^x is 4(3/2)^xln(3/2)

What is the first derivative of 4*(3/2)^x ?

The first derivative of 4*(3/2)^x is 4(3/2)^xln(3/2)

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derivative of

4 \cdot (\frac{3}{2})^{x}

4 (\frac{3}{2})^{x} ln (\frac{3}{2})

Solution steps

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

Take the constant out:

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

= 4 \frac{d}{d x} ((\frac{3}{2})^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 4 (\frac{3}{2})^{x} ln (\frac{3}{2})

\frac{d}{d r} (\frac{2 k}{r} + 2 π r^{2})

y^{^{''}} - 4 y^{^{''}} + 2 y = 0

f (x) = x^{2} - 4, at x = 1

(y^{2} + 9) d x - \frac{1}{( 2 x + 1 ) ^{2}} d y = 0

(\frac{x + 3}{x - 3})^{5}

What is the derivative of 4*(3/2)^x ?
The derivative of 4*(3/2)^x is 4(3/2)^xln(3/2)
What is the first derivative of 4*(3/2)^x ?
The first derivative of 4*(3/2)^x is 4(3/2)^xln(3/2)