Skip to main content
Differentiate w.r.t. y
Tick mark Image
Evaluate
Tick mark Image
Graph

Similar Problems from Web Search

Share

-\frac{1}{2}\times \left(\frac{1}{4}y^{3}\right)^{-\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{4}y^{3})
If F is the composition of two differentiable functions f\left(u\right) and u=g\left(x\right), that is, if F\left(x\right)=f\left(g\left(x\right)\right), then the derivative of F is the derivative of f with respect to u times the derivative of g with respect to x, that is, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).
-\frac{1}{2}\times \left(\frac{1}{4}y^{3}\right)^{-\frac{3}{2}}\times 3\times \frac{1}{4}y^{3-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
-\frac{3}{8}y^{2}\times \left(\frac{1}{4}y^{3}\right)^{-\frac{3}{2}}
Simplify.