Algebra
Calculus
Trigonometry
Matrix
Question
Evaluate the derivative
−16x3sin(4x4)
Evaluate
dxd(cos(4x4))
Use the chain rule dxd(f(g))=dgd(f(g))×dxd(g) where the g=4x4, to find the derivative
dgd(cos(g))×dxd(4x4)
Use dxd(cosx)=−sinx to find derivative
−sin(g)×dxd(4x4)
Calculate
More Steps
Calculate
dxd(4x4)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
4×dxd(x4)
Use dxdxn=nxn−1 to find derivative
4×4x3
Multiply the terms
16x3
−sin(g)×16x3
Substitute back
−sin(4x4)×16x3
Solution
−16x3sin(4x4)
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