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Popular >

derivative of f(x)=cos(sin(5)x^3)

Solution

derivative of

f (x) = cos (sin (5) x^{3})

Solution

- sin (sin (5) x^{3}) \cdot 3 sin (5) x^{2}

Solution steps

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

Apply the chain rule:

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

= - sin (sin (5) x^{3}) \frac{d}{d x} (sin (5) x^{3})

\frac{d}{d x} (sin (5) x^{3}) = 3 sin (5) x^{2}

= - sin (sin (5) x^{3}) \cdot 3 sin (5) x^{2}

Popular Examples

(\partial)/(\partial x)(9x^6y^5+6x^8y^4)

\frac{\partial}{\partial x} (9 x^{6} y^{5} + 6 x^{8} y^{4})

y^{^{'}} + y = e^{6 t}

derivative of ln(x+sqrt(x^2+4))derivative of

ln (x + x^{2} + 4)

(3x+2y+1)*dx-(3x+2y-1)*dy=0

(3 x + 2 y + 1) \cdot d x - (3 x + 2 y - 1) \cdot d y = 0

integral of (2x^4+3x^3-x)/(x^3)

\int \frac{2 x ^{4} + 3 x ^{3} - x}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=cos(sin(5)x^3) ?
The derivative of f(x)=cos(sin(5)x^3) is -sin(sin(5)x^3)*3sin(5)x^2
What is the first derivative of f(x)=cos(sin(5)x^3) ?
The first derivative of f(x)=cos(sin(5)x^3) is -sin(sin(5)x^3)*3sin(5)x^2