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Popular >

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

Solution

derivative of

4 x^{2} cos (x) + 3 x

Solution

4 (2 x cos (x) - x^{2} sin (x)) + 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x^{2} cos (x)) = 4 (2 x cos (x) - x^{2} sin (x))

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

= 4 (2 x cos (x) - x^{2} sin (x)) + 3

Popular Examples

integral of 4e^xsec(e^x+2)

\int 4 e^{x} sec (e^{x} + 2) d x

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

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

inverse oflaplace 1/(s^{3/2)}inverse laplace

\frac{1}{s ^{\frac{3}{2}}}

6y^{''}+31y=0,y(0)=6,y^'(0)=2

6 y^{^{''}} + 31 y = 0, y (0) = 6, y^{^{'}} (0) = 2

derivative of 1/(y^2+x)

\frac{d}{d x} (\frac{1}{y ^{2} + x})

Frequently Asked Questions (FAQ)

What is the derivative of 4x^2cos(x)+3x ?
The derivative of 4x^2cos(x)+3x is 4(2xcos(x)-x^2sin(x))+3
What is the first derivative of 4x^2cos(x)+3x ?
The first derivative of 4x^2cos(x)+3x is 4(2xcos(x)-x^2sin(x))+3