What is the derivative of sin(5x^2-3x+4) ?

The derivative of sin(5x^2-3x+4) is cos(5x^2-3x+4)(10x-3)

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

The first derivative of sin(5x^2-3x+4) is cos(5x^2-3x+4)(10x-3)

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derivative of

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

cos (5 x^{2} - 3 x + 4) (10 x - 3)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x^{2} - 3 x + 4) = 10 x - 3

= cos (5 x^{2} - 3 x + 4) (10 x - 3)

y = 63

f (t) = \frac{t}{t ^{2} - 2}

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

3 x - 2 y = lo g_{10} (3 x + 2 y)

x^{2} + 5 y^{2} = 5

What is the derivative of sin(5x^2-3x+4) ?
The derivative of sin(5x^2-3x+4) is cos(5x^2-3x+4)(10x-3)
What is the first derivative of sin(5x^2-3x+4) ?
The first derivative of sin(5x^2-3x+4) is cos(5x^2-3x+4)(10x-3)