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Popular >

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

Solution

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

Solution

48 x^{2} - 40 x + 12

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 4 x^{2} + 3, g = 4 x - 5

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

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

\frac{d}{d x} (4 x - 5) = 4

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

Simplify

8 x (4 x - 5) + 4 (4 x^{2} + 3) : 48 x^{2} - 40 x + 12

= 48 x^{2} - 40 x + 12

Popular Examples

integral from 3.5 to 5 of x/8

\int_{3.5}^{5} \frac{x}{8} d x

integral of (-16)/(sqrt(4-x^2))

\int \frac{- 16}{4 - x ^{2}} d x

integral of x(1-x^2)^2

\int x (1 - x^{2})^{2} d x

y^{''}+2y^'+2y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

derivative of-2(x^2+3x)derivative of

- 2 (x^{2} + 3 x)

Frequently Asked Questions (FAQ)

What is the derivative of (4x^2+3(4x-5)) ?
The derivative of (4x^2+3(4x-5)) is 48x^2-40x+12
What is the first derivative of (4x^2+3(4x-5)) ?
The first derivative of (4x^2+3(4x-5)) is 48x^2-40x+12