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Popular >

derivative of (4x^2+3x+2^5)

Solution

\frac{d}{d x} ((4 x^{2} + 3 x + 2)^{5})

Solution

5 (4 x^{2} + 3 x + 2)^{4} (8 x + 3)

Solution steps

\frac{d}{d x} ((4 x^{2} + 3 x + 2)^{5})

Apply the chain rule:

5 (4 x^{2} + 3 x + 2)^{4} \frac{d}{d x} (4 x^{2} + 3 x + 2)

= 5 (4 x^{2} + 3 x + 2)^{4} \frac{d}{d x} (4 x^{2} + 3 x + 2)

\frac{d}{d x} (4 x^{2} + 3 x + 2) = 8 x + 3

= 5 (4 x^{2} + 3 x + 2)^{4} (8 x + 3)

Popular Examples

integral from 0 to 2 of (6x)/((1+x^2)^2)

\int_{0}^{2} \frac{6 x}{( 1 + x ^{2} ) ^{2}} d x

(\partial)/(\partial y)(y-x^3)

\frac{\partial}{\partial y} (y - x^{3})

derivative of ((1-x)/x)

\frac{d}{d x} (\frac{( 1 - x )}{x})

y^{''}+6y^'+9y=t^{-2}e^{-3t}

y^{^{''}} + 6 y^{^{'}} + 9 y = t^{- 2} e^{- 3 t}

y^'= 3/((x+2)^2)

y^{^{'}} = \frac{3}{( x + 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of (4x^2+3x+2^5) ?
The derivative of (4x^2+3x+2^5) is 5(4x^2+3x+2)^4(8x+3)
What is the first derivative of (4x^2+3x+2^5) ?
The first derivative of (4x^2+3x+2^5) is 5(4x^2+3x+2)^4(8x+3)