What is the derivative of sin(3x^5+5x^4) ?

The derivative of sin(3x^5+5x^4) is cos(3x^5+5x^4)(15x^4+20x^3)

What is the first derivative of sin(3x^5+5x^4) ?

The first derivative of sin(3x^5+5x^4) is cos(3x^5+5x^4)(15x^4+20x^3)

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derivative of

sin (3 x^{5} + 5 x^{4})

cos (3 x^{5} + 5 x^{4}) (15 x^{4} + 20 x^{3})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{5} + 5 x^{4}) = 15 x^{4} + 20 x^{3}

= cos (3 x^{5} + 5 x^{4}) (15 x^{4} + 20 x^{3})

x \frac{d y}{d x} + \frac{y}{x + 1} = x (x + 1)

x \to - 1 lim (\frac{x ^{100}}{1})

\int sin^{2} (\frac{nπ x}{L}) d x

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

\int \frac{2 x ^{5}}{1 - 6 x ^{6}} d x

What is the derivative of sin(3x^5+5x^4) ?
The derivative of sin(3x^5+5x^4) is cos(3x^5+5x^4)(15x^4+20x^3)
What is the first derivative of sin(3x^5+5x^4) ?
The first derivative of sin(3x^5+5x^4) is cos(3x^5+5x^4)(15x^4+20x^3)