What is the derivative of y=(4x+3)^{10} ?

The derivative of y=(4x+3)^{10} is 40(4x+3)^9

What is the first derivative of y=(4x+3)^{10} ?

The first derivative of y=(4x+3)^{10} is 40(4x+3)^9

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derivative of

y = (4 x + 3)^{10}

40 (4 x + 3)^{9}

Solution steps

\frac{d}{d x} ((4 x + 3)^{10})

Apply the chain rule:

10 (4 x + 3)^{9} \frac{d}{d x} (4 x + 3)

= 10 (4 x + 3)^{9} \frac{d}{d x} (4 x + 3)

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

= 10 (4 x + 3)^{9} \cdot 4

Simplify

= 40 (4 x + 3)^{9}

\frac{d}{d x} ((- 4 x^{2} + 9)^{2})

\int (\frac{x ^{4} - 6 x ^{3} - 7 x}{x}) d x

x = y^{2} - 2, x = y

\int \frac{7 t - 6}{t + 1} d t

\frac{d}{d x} (5 e^{- x} + e^{2 x})

What is the derivative of y=(4x+3)^{10} ?
The derivative of y=(4x+3)^{10} is 40(4x+3)^9
What is the first derivative of y=(4x+3)^{10} ?
The first derivative of y=(4x+3)^{10} is 40(4x+3)^9